(1 point) For the following function, find the Taylor series centered at c = 2 and then give the first 5 nonzero terms of the Taylor series and the open interval of convergence. f(x) = e37 f(z) = 7 0 f(x) = + + + + + . .. The open interval of convergence is: (Give your answer in interval notation.)(1 point) For the following function, find the Taylor series centered at @ = 2 and give the first 5 nonzero terms of the Taylor series. Write the interval of convergence of the series. f(x) = In(x) f(x) = + In f(x) = + + + + . . The interval of convergence is: (Give your answer in interval notation.)(1 point) Match each of the Maclaurin series with the function it represents. 1. ) (-1) 7 0 (2n + 1)! 00 (-1)nx2n 2. 1 0 (2n)! (-1)2+1 3. n 0 2n + 1 n 0 n! A. cos(c) B. arctan(c) C. ed D. sin(x)