Question
Asked Jan 24, 2020
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How many terms of the Taylor series for ln (1 + x) should you add to be sure of calculating ln (1.1) with an error of magnitude less than 10^-8? Give reasons for your answer.

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Expert Answer

Step 1

The Taylor series for ln(1+x) can be written as:

Calculus homework question answer, step 1, image 1
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Step 2

To find: The approximate value of x.

Step 3

Since, the right-hand side of (1) is an alternating series. T...

Calculus homework question answer, step 3, image 1
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