Solution Found!
Answer: Alternative approach Compute the coefficients for
Chapter 8, Problem 61E(choose chapter or problem)
Alternative approach Compute the coefficients for the Taylor series for the following functions about the given point a and then use the first four terms of the series to approximate the given number.
\(f(x)=\sqrt[3]{x}\) with a = 64; approximate \(\sqrt[3]{60}\).
Questions & Answers
QUESTION:
Alternative approach Compute the coefficients for the Taylor series for the following functions about the given point a and then use the first four terms of the series to approximate the given number.
\(f(x)=\sqrt[3]{x}\) with a = 64; approximate \(\sqrt[3]{60}\).
ANSWER:Solution 61E
Step 1:
In this problem we need to find the coefficients for the Taylor series for the function with
and then we have to approximate
The -order Taylor polynomial for y = f(x) at
is:
It can also be written in sigma notation as follows,
where the constants is the
Taylor coefficient of
about
.