Can a real-valued function f(x, k) which has domain x: Reals and k: Positive integers and 0 have the following property?$$\lim_{n\rightarrow\infty}\sum_{k=0}^n\int f(x,k)dx$$The above converges for some x while the below diverges$$\lim_{n\rightarrow\infty}\sum_{k=0}^nf(x,k)$$for the same x?

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anonymous · Answer

haha i think u shud try this website.. its pretty helpful on those sequences and series http://tutorial.math.lamar.edu/Classes/CalcII/ConvergenceOfSeries.aspx

anonymous · Answer

i aint sure but hope that web helps u

anonymous · Answer

I appreciate your try to help but I did pass calculus and if it could have been solved that easily then I wouldn't have asked.

anonymous · Answer

@Hero @experimentX @radar I'd appreciate some help please.

experimentx · Answer

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