(adsbygoogle = window.adsbygoogle || []).push({}); [SOLVED] Finding the nth term of the maclaurin's expansion of sqrt(1+x)

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

Find the nth term of the Maclaurin's expansion of [itex]\sqrt{1+x}[/itex]

2. Relevant equations

3. The attempt at a solution

so far I've expanded and gotten

[tex]\sqrt{1+x}=1+\frac{x}{2}-\frac{x^2}{2!4}+\frac{3x^3}{3!8}-\frac{15x^4}{4!16}+\frac{105x^5}{5!32}[/tex]

so far I've gotten that part of the nth term should be

[tex]\frac{x^n}{n!2^n}[/tex]

but what I do not know is how to deal with the + and - signs as well as the numbers in th numerators...please help me

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# Homework Help: Finding the nth term of the maclaurin's expansion of sqrt(1+x)

**Physics Forums | Science Articles, Homework Help, Discussion**