The discussion centers on the convergence of the series defined by the expression sum ((x-1)^(2n-2))/((2n-1)!) for n=1 to infinity. The user applied the ratio test and concluded that the radius of convergence is from negative infinity to infinity, indicating that the series converges for all values of x. This conclusion was affirmed by another participant in the discussion, confirming the correctness of the user's findings.
PREREQUISITESMathematics students, educators, and anyone involved in series analysis or calculus, particularly those focusing on convergence tests and power series.
Looks good to me.MozAngeles said:Homework Statement
sum ((x-1)^(2n-2))/((2n-1)!) n=1..infinity?
after doing the ratio test, i found that the radius is from negative infinity to infinity (converges for all x).
is this right?
if not can you steer me in the right direction, please.