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Which of the following is the nº Taylor polynomial Tn(x) for f(x)=In(1-x) based at b=0? Tn(x) = ax ..+ ²x^ n To(X) = -x Tn(x) = -x-x²-3x³-...- Tn(x) = -x-x²-x³-1 21 n= 3 31 n! n Find the smallest value of n such that Taylor's inequality guarantees that IT(x)-In(1-x) <0.01 for all x in the interval I= 마을

Which of the following is the nº Taylor polynomial Tn(x) for f(x)=In(1-x) based at b=0? Tn(x) = ax ..+ ²x^ n To(X) = -x Tn(x) = -x-x²-3x³-...- Tn(x) = -x-x²-x³-1 21 n= 3 31 n! n Find the smallest value of n such that Taylor's inequality guarantees that IT(x)-In(1-x) <0.01 for all x in the interval I= 마을

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Which of the following is the nth Taylor polynomial T(x) for f(x)=In(1-x) based at b=0? Tn(x) = -x + x²-x³+x² Tr(x) ) = -x-2 / x²-31 x ³- · Tn(x) = -x-1x²-3x³- In(x) = x - -x-²-2/³- n= 3 n X n! n Find the smallest value of n such that Taylor's inequality guarantees that IT(x)-In(1-x) <0.01 for all x in the interval I= H 4 n-1
Transcribed Image Text:Which of the following is the nth Taylor polynomial T(x) for f(x)=In(1-x) based at b=0? Tn(x) = -x + x²-x³+x² Tr(x) ) = -x-2 / x²-31 x ³- · Tn(x) = -x-1x²-3x³- In(x) = x - -x-²-2/³- n= 3 n X n! n Find the smallest value of n such that Taylor's inequality guarantees that IT(x)-In(1-x) <0.01 for all x in the interval I= H 4 n-1
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