Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f...

Question

Question

Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion.]

Find the associated radius of convergence, R.
R =

math calculus

Answer 1

Answer #1

The Maclaurin series of a function f(x) is given by:

Evaluate at x = 0.

Let's write the first few terms:

This would be harder than usual but I was given choices, and you will see that:

Which is equivalent tho the series that I derived for ln(1 + 2x).

It's the 4th choice.

answered by: ash

Answer 2

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