Question

Asked Jun 6, 2019

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at what points x in the interval (-1,1] can one use the Lagrange Remainder Theorem to verify the expansion log(1+x) = summation (-1)^k+1 *x^k*1/k!

Step 1

The LaGrange remainder theorem:

*f *(*x*) be a real valued function defined in I,

- i)
*f*(*x*) has derivative in upon interval I. - ii)
*f*(*x*) is continuous in I.

Then there exists an element between x and a such that,

Step 2

Here the given interval is (–1,1] which is at *x* = 0 and to verify the expansion.

Step 3

Obtain the derivative...

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