Question

Question about Riemann integral ...

Answer 1

\[\sum_{k=1}^{\infty} e ^{xk} \sin (x ^{k} ) \]

How can i show that this function series is improperly Riemann integrable on [a, infinity)

Answer 2

http://www.math.nus.edu.sg/~matngtb/Calculus/MA3110/Chapter%2014%20Improper%20Integrals.pdf

this might be of some help. it looks like if it is integrable from a to b, and defined as b approaches infinity ....

Answer 3

thats the extent of my abilities for this :/ good luck with it