number 24* include the nth term of the polynomial.* Include an explanation of how you arrived at your answer for the nth term. An EXAMPLE of the explanation would be"Starting with f'(0) and progressing to the next derivatives, the signs alternate between positive and negative, and so, this is written as (-1)^{(n-1)} for n=1,2,3,.... The values of the numerator of the derivatives are 1,1,2,6,... for n=1,2,3,4,... which appears to be(n - 1)!. The denominator is (1 + x) raised to the power of n."

In Exercises 23-30, find In centered at x = a for all n. 23. f(x) = a = 0 1 + x' 24. f (x) = a =4 x - 1' 25. f(x) = ex, a=1 26. f(x) = ex, a=-2 27. f(x) =x-2, a=1 28. f(x) = x-2, a=2 29. f(x) = cos x, a= 4