Answer: Taylor polynomials Find the nth-order Taylor

Chapter 1, Problem 2RE

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QUESTION:

Taylor polynomials Find the nth-order Taylor polynomial for the following functions with the given center point a.

f(x) = sin 2x, n = 3, a = 0

Questions & Answers

QUESTION:

Taylor polynomials Find the nth-order Taylor polynomial for the following functions with the given center point a.

f(x) = sin 2x, n = 3, a = 0

ANSWER:

Solution 2REStep 1:In this problem we have to find the -order Taylor polynomial for function with the given center point a=0.Taylor series is given by In our case, That is So, what we need to do to get desired polynomial is to calculate derivatives, evaluate them at the given point and plug results into given formula.

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