Homework Help: Help Determining which Maclaurin Series to use for this Problem

1. May 4, 2014

student93

1. The problem statement, all variables and given/known data

Problem is attached in this post.

2. Relevant equations

Problem is attached in this post.

3. The attempt at a solution

I came up with the function (1+x)^1/n and tried to derive a maclaurin series out o fit but to no avail, I can't determine what maclaurin series to use.

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2. May 5, 2014

lurflurf

Use the binomial series

3. May 5, 2014

xiavatar

If you haven't already realized it, binomial coefficients can be generalized to take fractional values. Namely

$$\binom{p/q}{m}=\frac{\frac{p}{q}(\frac{p}{q}-1)...(\frac{p}{q}-m+1)}{m!}$$.

And furthermore, note that

$$\binom{p/q}{1}=\frac{p}{q}$$