Convergent or divergent: $sum_{n=1}^infty frac{(2+nalpha)^n}{n!}$ [on hold]












-2















Check whether the following series is converges or not:
$$sum_{n=1}^infty frac{(2+nalpha)^n}{n!}$$ where $alpha in (0,1)$




I have tried with diferent methods like Cauchy's, D'Alambert & Raabe but I can't solve it.










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put on hold as off-topic by José Carlos Santos, Did, RRL, user91500, Davide Giraudo 9 hours ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – José Carlos Santos, Did, RRL, user91500, Davide Giraudo

If this question can be reworded to fit the rules in the help center, please edit the question.













  • It is in your best interest that you type your questions (using MathJax) instead of posting links to pictures.
    – José Carlos Santos
    yesterday










  • What is the language used here? What is the range of $alpha$ ?
    – Chinnapparaj R
    yesterday










  • Thank you for editing it Chinapparaj R
    – M.Martinez
    yesterday










  • Show $a_nsim Cdfrac{a^ne^n}{sqrt{n}}$ using Stirling formula and ignore the $2$ on numerator.
    – zwim
    yesterday
















-2















Check whether the following series is converges or not:
$$sum_{n=1}^infty frac{(2+nalpha)^n}{n!}$$ where $alpha in (0,1)$




I have tried with diferent methods like Cauchy's, D'Alambert & Raabe but I can't solve it.










share|cite|improve this question









New contributor




M.Martinez is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











put on hold as off-topic by José Carlos Santos, Did, RRL, user91500, Davide Giraudo 9 hours ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – José Carlos Santos, Did, RRL, user91500, Davide Giraudo

If this question can be reworded to fit the rules in the help center, please edit the question.













  • It is in your best interest that you type your questions (using MathJax) instead of posting links to pictures.
    – José Carlos Santos
    yesterday










  • What is the language used here? What is the range of $alpha$ ?
    – Chinnapparaj R
    yesterday










  • Thank you for editing it Chinapparaj R
    – M.Martinez
    yesterday










  • Show $a_nsim Cdfrac{a^ne^n}{sqrt{n}}$ using Stirling formula and ignore the $2$ on numerator.
    – zwim
    yesterday














-2












-2








-2








Check whether the following series is converges or not:
$$sum_{n=1}^infty frac{(2+nalpha)^n}{n!}$$ where $alpha in (0,1)$




I have tried with diferent methods like Cauchy's, D'Alambert & Raabe but I can't solve it.










share|cite|improve this question









New contributor




M.Martinez is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.












Check whether the following series is converges or not:
$$sum_{n=1}^infty frac{(2+nalpha)^n}{n!}$$ where $alpha in (0,1)$




I have tried with diferent methods like Cauchy's, D'Alambert & Raabe but I can't solve it.







sequences-and-series convergence






share|cite|improve this question









New contributor




M.Martinez is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|cite|improve this question









New contributor




M.Martinez is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|cite|improve this question




share|cite|improve this question








edited yesterday









Chinnapparaj R

5,2601826




5,2601826






New contributor




M.Martinez is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









asked yesterday









M.Martinez

323




323




New contributor




M.Martinez is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.





New contributor





M.Martinez is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






M.Martinez is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.




put on hold as off-topic by José Carlos Santos, Did, RRL, user91500, Davide Giraudo 9 hours ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – José Carlos Santos, Did, RRL, user91500, Davide Giraudo

If this question can be reworded to fit the rules in the help center, please edit the question.




put on hold as off-topic by José Carlos Santos, Did, RRL, user91500, Davide Giraudo 9 hours ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – José Carlos Santos, Did, RRL, user91500, Davide Giraudo

If this question can be reworded to fit the rules in the help center, please edit the question.












  • It is in your best interest that you type your questions (using MathJax) instead of posting links to pictures.
    – José Carlos Santos
    yesterday










  • What is the language used here? What is the range of $alpha$ ?
    – Chinnapparaj R
    yesterday










  • Thank you for editing it Chinapparaj R
    – M.Martinez
    yesterday










  • Show $a_nsim Cdfrac{a^ne^n}{sqrt{n}}$ using Stirling formula and ignore the $2$ on numerator.
    – zwim
    yesterday


















  • It is in your best interest that you type your questions (using MathJax) instead of posting links to pictures.
    – José Carlos Santos
    yesterday










  • What is the language used here? What is the range of $alpha$ ?
    – Chinnapparaj R
    yesterday










  • Thank you for editing it Chinapparaj R
    – M.Martinez
    yesterday










  • Show $a_nsim Cdfrac{a^ne^n}{sqrt{n}}$ using Stirling formula and ignore the $2$ on numerator.
    – zwim
    yesterday
















It is in your best interest that you type your questions (using MathJax) instead of posting links to pictures.
– José Carlos Santos
yesterday




It is in your best interest that you type your questions (using MathJax) instead of posting links to pictures.
– José Carlos Santos
yesterday












What is the language used here? What is the range of $alpha$ ?
– Chinnapparaj R
yesterday




What is the language used here? What is the range of $alpha$ ?
– Chinnapparaj R
yesterday












Thank you for editing it Chinapparaj R
– M.Martinez
yesterday




Thank you for editing it Chinapparaj R
– M.Martinez
yesterday












Show $a_nsim Cdfrac{a^ne^n}{sqrt{n}}$ using Stirling formula and ignore the $2$ on numerator.
– zwim
yesterday




Show $a_nsim Cdfrac{a^ne^n}{sqrt{n}}$ using Stirling formula and ignore the $2$ on numerator.
– zwim
yesterday










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