Consider the infinite series i 1 1 \"=02n+2 115' In this problem, we are going to use Taylor series to find the exact value. [a] (4 points) Due to the factors of the form 1/[2n l 2) in the sum, we might suspect that this is actually the integral of some power series. That is. CD 1 1 co 61:?\" ._: d where t: > 0 is a fixed number and pn is some sequence of numbers. Find suitable values of c and pH so that the above is an equality. (b) {4 points] In (a), you obtained a power series This is. in fact, the Taylor series of some function at) centred at :L' = 0. Using the Taylor series of familiar functions like polynomials. the exponential, co '1 z I '9 = Z r' n=D n' logarithms, etc.r find this function at). {c} (2 points] Using your function m) from (b). find the exact answer to by evaluating where C is the bound you found in part (a)