Please show all steps, and solve it on a separate piece of paper THANKS! LOOK AT THE PHOTO ATTACHED

Part a:

Give the Taylor series for

f(x) =e^(5x)centered at0.

Part b: Find f(7) (0) for the series in part a.

Part c:LetUse the Lagrange formula to find the smallest value of n so that the nth degree Taylor polynomial centered at x = 0 approximates f at x = 1 with an error of no more than 0.001.

You may use the following table to help with your calculation