Answer to Question #156956 in Civil and Environmental Engineering for Ian

Question #156956

Expand the function using Taylor Series Expansion (first 8 terms).

  1. e^x, a=2




1
Expert's answer
2021-01-25T04:11:13-0500

he function is given as

f(x)=ex

the successive deriviatives of the function f(x) are given as

f1(x)=ex,, f2(x)=ex,, f3(x)=ex,,

f4(x)=ex,, f4(x)=ex,, f6(x)=ex,,

f7(x)=ex,, f8(x)=ex


the value of the function and it der.. at the point a=2 are

f1(x)=e2 f2(x)=e2 f3(x)=e2

f4(x)=e2 f5(x)=e2 f6(x)=e2

f7(x)=e2 f8(x)=e2


the taylor polynomial of degree n approximating the function f(x) from n x= a is given by


f(x)=f(a)+f1(a)(x-a)+F2(A)/2!(X-a) 2

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment

Ask Your question

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS