Power series for sec.v Use the identity sec and long cos

Chapter 8, Problem 76AE

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QUESTION:

Power series for sec x Use the identity \(\sec x=\frac{1}{\cos x}\) and long division to find the first three terms of the Maclaurin series for sec x.

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QUESTION:

Power series for sec x Use the identity \(\sec x=\frac{1}{\cos x}\) and long division to find the first three terms of the Maclaurin series for sec x.

ANSWER:

Solution 76AE

Step 1:

In this problem we need to find the Maclaurin series for sec x using the identity and long cos x division.

Maclaurin series for is given by,

We have

Pu

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