1. Write the first four terms in the Taylor series of f (x) centered at x = 2 given the following: f(0) = 1, f(1) = 2, f(2) = 3 f'(0) = 4, f'(1) = 5, f'(2) = 6 f"(0) = 7, f"(5) = 8, f"(2) = 9 f(3) (0) = 10, f(3) (3) = 11, f(3) (2) = 12 f(4) (0) = 13 %3D

Q: Problem 1. For f(x) = VT, compute the first four terms of its Taylor series centered at r = 8.

A: fx=x3⇒fx=x13 Differentiating with respect to x, we get f'x=13x13-1    ∵dxndx=nxn-1=13x-23 Again…

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