Math Help - Calculating terms of the Maclaurin series for a function

1. Calculating terms of the Maclaurin series for a function

Hi guys, i've got this exercise which requires me to calculate the first three terms of the Maclaurin seris for the sqr root of $(1 + x)$

My attempt gives me ( i don't know the code for the sqr root symbol so i've left it out but there should be the sqr root symbol on every term of the series:

$f(1 + x) = f(1 + 0) + f'(1 + 0)(x) \, /2 + f'1(1 + 0)(x^2) +...$

If anything is wrong i would greatly appreciate it, if you point out and feel free to make corrections.

Thanks a bunch.

2. The first term is just 1.

$\frac{d}{dx}[\sqrt{1+x}]=\frac{1}{2\sqrt{x+1}}$

$\frac{d^{2}}{d^{2}x}[\sqrt{1+x}]=\frac{-1}{4(x+1)^{\frac{3}{2}}}$

Now, if we use them in the MacLauren series and let x=0:

$1+\frac{x}{2}-\frac{x^{2}}{8}+..........$