M4: Taylor Series (a) Using series we already know, write down a formula for the (infinite) Taylor series for par - el, and then write down the degree-three polynomial explicitly. (b) Let f(x) = sin(x). Use the definition of a Taylor series to find Ta(1, x/6) (centered at 7/6) for this function. (That is, find the terms up through the degree-three term.)[c] Write a. power series expression for H' centered at 0. What is the radius of conver genes