1) Obtain the Taylor series corresponding to f (x) = e2x-1, centered at x = 12 (that is, a = =, in the formula we introduced in class) 2) Use the result from part (1) to write the Taylor series that represents the function g(x) = ezx-1 _ 1 e2x-1 3) Evaluate the Limit logx- 1 If you use L'Hopital's rule, indicate so. x 4) Use the series that you found in part (2) to simplify the function in the limit of part (3) and show that the resulting limit has the same value that you obtained in part (3)