Suppose that you are estimating √8 using the third Taylor polynomial for √ at x = 7. Use Taylor's Theorem for Remainders to bound the error. Round your answer to six decimal places.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Question**

Suppose that you are estimating \(\sqrt{8}\) using the third Taylor polynomial for \(\sqrt{x}\) at \(x = 7\). Use Taylor's Theorem for Remainders to bound the error.

Round your answer to six decimal places.

Provide your answer below:

\[
|R_3(x)| \le 
\]
Transcribed Image Text:**Question** Suppose that you are estimating \(\sqrt{8}\) using the third Taylor polynomial for \(\sqrt{x}\) at \(x = 7\). Use Taylor's Theorem for Remainders to bound the error. Round your answer to six decimal places. Provide your answer below: \[ |R_3(x)| \le \]
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