Find the Taylor series or polynomial generated by the following functions a. )f(x) √ x centred...

Find the Taylor series or polynomial generated by the following functions

a. )f(x) √ x centred at x=4 , of order 3

b.) f(x) cosh x= e^x+e^-x/(2), centred at x=0

c.) f(x) = x tan^-1x^2 , centred at x=0

d.) f(x) = 1/(√1+x^3) , centred at x=0 , of order 4

e.) f(x) = cos(2x+pie/2) centred at x= pie/4

Expert Solution

milcah answered 2 years ago

Find the Taylor series for f ( x ) centered at the given value of a...

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Find the Taylor polynomial of degree 2 centered at a = 1 for the function f(x) = e^(2x) . Use Taylor’s Inequality to estimate the accuracy of the approximation e^(2x) ≈ T2(x) when 0.7 ≤ x ≤ 1.3

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Find the Taylor series for f (x) = 2/(1+3x) at x = a where a = 0

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Let f(x) = 1 + x − x2 +ex-1. (a) Find the second Taylor polynomial T2(x)...

Let f(x) = 1 + x − x2 +ex-1. (a) Find the second Taylor polynomial T2(x) for f(x) based at b = 1. b) Find (and justify) an error bound for |f(x) − T2(x)| on the interval [0.9, 1.1]. The f(x) - T2(x) is absolute value. Please answer both questions cause it will be hard to post them separately.

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Find the Taylor series or polynomial generated by the following functions a. )f(x) √ x centred...

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