Question

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?

Answer 1

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

Answer 2

i aint sure but hope that web helps u

Answer 3

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.

Answer 4

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