Now we must find the radius of convergence for the Maclaurin series First we set up the ratio test as follows lim 816 an 1 an lim 818 n 2 n n 1 4 n 2 x 1 Step 6 Now we can simplify and evaluate the limit Ixl lim x 4 n 1 4 n 1 B n 0 4 n 1 x That is the positive number R such that the series converges if Ix al R and diverges of La