Use this list of Basic Taylor Series and the identity sin2θ= 1 2 (1−cos(2θ)) to find the Taylor Series for f(x) = sin2(5x) based at 0. Give your answer using summation notation, write out the first three non-zero terms, and give the interval on which the series converges. (If you need to enter [infinity], use the [infinity] button in CalcPad or type "infinity" in all lower-case.)