Homework SourseApply the integral test to determine whether the series conv
Apply the integral test to determine whether the series converges. the sum k=1 to infinity ((e^k)/(1+e^(2k))
Solution
integration test :
use substitution put e^k = t
dt/1+ t*t
: tan^-1(t)
: tan^-1(e^k)
: tan^-1(infinity) - tan^-1(e)
: /2 - tan^-1(e) answer !!!!
