Assume a calculator uses the Maclaurin series of e* to approximate the exponential function. When you type in e² into this calculator, it gives you the answer 7.389056099. How many terms of the Maclaurin series do you need to get this level of accuracy (9 decimal places) for e²? Answer this question without looking up or using an estimation/approximation formula, instead writing out terms of the series, testing values, and comparing it to this decimal.
Assume a calculator uses the Maclaurin series of e* to approximate the exponential function. When you type in e² into this calculator, it gives you the answer 7.389056099. How many terms of the Maclaurin series do you need to get this level of accuracy (9 decimal places) for e²? Answer this question without looking up or using an estimation/approximation formula, instead writing out terms of the series, testing values, and comparing it to this decimal.
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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Transcribed Image Text:Assume a calculator uses the Maclaurin series of e* to approximate the exponential
function. When you type in e² into this calculator, it gives you the answer
7.389056099. How many terms of the Maclaurin series do you need to get this level
of accuracy (9 decimal places) for e²? Answer this question without looking up or
using an estimation/approximation formula, instead writing out terms of the series,
testing values, and comparing it to this decimal.
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