Question: Consider the function. f(x)=xsinx,a=0,n=4,-0.6 (a) Approximate f by a Taylor polynomial with degree n at the number a . T_(4)(x)= (b) Use Taylor's

Consider the function.\

f(x)=xsinx,a=0,n=4,-0.6

\ (a) Approximate

f

by a Taylor polynomial with degree

n

at the number

a

.\

T_(4)(x)=

\ (b) Use Taylor's Inequality to estimate the accuracy of the approximation

f(x)~~T_(n)(x)

\ when

x

lies in the given interval. (Round

M

up to the nearest integer. Round your answer\ to four decimal places.)\

|R_(4)(x)|
 Consider the function.\ f(x)=xsinx,a=0,n=4,-0.6\ (a) Approximate f by a Taylor polynomial

Consider the function. f(x)=xsinx,a=0,n=4,0.6x0.6 (a) Approximate f by a Taylor polynomial with degree n at the number a. T4(x)= (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x)Tn(x) when x lies in the given interval. (Round M up to the nearest integer. Round your answer to four decimal places.)

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