Problem 49 suggests that if n is odd, then the nth order Maclaurin polynomial for sin x

Question:

Problem 49 suggests that if n is odd, then the nth order Maclaurin polynomial for sin x is also the (n + 1)st order polynomial, so the error can be calculated using Rn+1. Use this result to find how large n must be so that |Rn+1(x)| is less than 0.00005 for all x in the interval 0 ( x ( (/2. (n must be odd.)?