Summation, n=1 to infinity (ne^(-n/2)) Please help.
Follow Math Help Forum on Facebook and Google+
Hello, saiyanmx89! Integral test: . The corresponding integral is: . By parts: . We have: . Then: . The integral converges . . . Therefore, the series will converge.
#1 - Integrate the function. You should arrive at -2x*e^(-x/2) -4e^(-x/2). Now evaluate the integral for the bounds lim N->infinity (1, N).
View Tag Cloud