Question

Asked Jan 24, 2020

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For approximately what values of x can you replace sin x by x - (x3/6) with an error of magnitude no greater than 5 x10^-4 ? Give reasons for your answer

Step 1

The Taylor series for sin(x) can be written as:

Step 2

To find: The approximate value of x.

Step 3

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

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