Posted by bob on Sunday, January 3, 2010 at 10:32pm.
write a power series for e to the 2x and find the interval of convergence

calculus  drwls, Monday, January 4, 2010 at 12:24am
Since e^x = 1 + x + x^2/2! + x^3/3! + ...
e^2x = 1 + 2x + 4x^2/2! + 8x^3/3! + ...
It converges for all x.