4. Talyor series for f(x) about x = a is,f(x) = Sf®(a)(x – a)"n!n=0f"(a)f''(a)= f(a) + f'(a)(x – a) +(x – a)² + :2!(x – a)3 + ...3!(a) Find the Talyor Series for f(x) = e* about x = 0.(b) Find the Talyor Series for f (x) = In (x) about x = 2.

We find the Taylor series for f(x)=ex about x=0 and we also find the Taylor series for f(x)=ln(x)…

Answered: Talyor series for f(x) about x = a is,…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.3: Geometric Sequences

Problem 49E

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Talyor series for f(x) about x = a is, f(m (a) f(x) = (x – a)" п! n=0 = f(a) + f'(a)(x – a) + f"(a) (x – a)² + 2! f''(a) (x – a)³ + .* (x- a)³ + .. 3! - (a) Find the Talyor Series for f(x) = e* about x = 0. (b) Find the Talyor Series for f(x) = In (x) about x = 2. %3D