Determining the uniform convergence of given series [closed]












-1














Show that the following series is uniformly convergent-
e^x + e^(2x) + e^(3x) +.... for -1/4 « x « 1/4
But the series is increasing and not bounded above..so how it can be convergent?






calculus







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closed as off-topic by RRL, Shubham Johri, amWhy, jgon, Davide Giraudo Jan 4 at 23:36


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." – RRL, Shubham Johri, amWhy, jgon, Davide Giraudo

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









  • 5




    It's simple: it cannot.
    – José Carlos Santos
    Jan 4 at 17:30
















-1














Show that the following series is uniformly convergent-
e^x + e^(2x) + e^(3x) +.... for -1/4 « x « 1/4
But the series is increasing and not bounded above..so how it can be convergent?






calculus







share|cite|improve this question













closed as off-topic by RRL, Shubham Johri, amWhy, jgon, Davide Giraudo Jan 4 at 23:36


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." – RRL, Shubham Johri, amWhy, jgon, Davide Giraudo

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









  • 5




    It's simple: it cannot.
    – José Carlos Santos
    Jan 4 at 17:30














-1












-1








-1







Show that the following series is uniformly convergent-
e^x + e^(2x) + e^(3x) +.... for -1/4 « x « 1/4
But the series is increasing and not bounded above..so how it can be convergent?






calculus







share|cite|improve this question













Show that the following series is uniformly convergent-
e^x + e^(2x) + e^(3x) +.... for -1/4 « x « 1/4
But the series is increasing and not bounded above..so how it can be convergent?






calculus




calculus






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share|cite|improve this question











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asked Jan 4 at 17:29









KashmiraKashmira

443




443




closed as off-topic by RRL, Shubham Johri, amWhy, jgon, Davide Giraudo Jan 4 at 23:36


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." – RRL, Shubham Johri, amWhy, jgon, Davide Giraudo

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




closed as off-topic by RRL, Shubham Johri, amWhy, jgon, Davide Giraudo Jan 4 at 23:36


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." – RRL, Shubham Johri, amWhy, jgon, Davide Giraudo

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








  • 5




    It's simple: it cannot.
    – José Carlos Santos
    Jan 4 at 17:30














  • 5




    It's simple: it cannot.
    – José Carlos Santos
    Jan 4 at 17:30








5




5




It's simple: it cannot.
– José Carlos Santos
Jan 4 at 17:30




It's simple: it cannot.
– José Carlos Santos
Jan 4 at 17:30










1 Answer
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Let $$u_n(x)=e^{nx}.$$



$$u_n(0)=1implies sum u_n(0) text{ diverges}.$$






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    1 Answer
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    oldest

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    1 Answer
    1






    active

    oldest

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    active

    oldest

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    active

    oldest

    votes









    1














    Let $$u_n(x)=e^{nx}.$$



    $$u_n(0)=1implies sum u_n(0) text{ diverges}.$$






    share|cite|improve this answer


























      1














      Let $$u_n(x)=e^{nx}.$$



      $$u_n(0)=1implies sum u_n(0) text{ diverges}.$$






      share|cite|improve this answer
























        1












        1








        1






        Let $$u_n(x)=e^{nx}.$$



        $$u_n(0)=1implies sum u_n(0) text{ diverges}.$$






        share|cite|improve this answer












        Let $$u_n(x)=e^{nx}.$$



        $$u_n(0)=1implies sum u_n(0) text{ diverges}.$$







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Jan 4 at 17:44









        hamam_Abdallahhamam_Abdallah

        38.1k21634




        38.1k21634















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