10.2 Approximation of Functions:
Taylor Polynomials

Checkpoint 1

For the polynomial `p text[(] x text[)] = 3 - 4x + 4x^2 + 2/3x^3 - 1/8x^4` just found in Example 1, confirm that

`p text[(] 0 text[)] = 3, p' text[(] 0 text[)] = -4, p'' text[(] 0 text[)] = 8, p^((3)) text[(] 0 text[)] = 4,` and `p^((4)) text[(] 0 text[)] = -3`.