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emcrazy14
 2 years ago
Urgent help needed:
Expand the following up to the term in x^3:
emcrazy14
 2 years ago
Urgent help needed: Expand the following up to the term in x^3:

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emcrazy14
 2 years ago
Best ResponseYou've already chosen the best response.0\[\frac{ 1+x }{ \sqrt{1x} }\]

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.2expand in a power series i take it

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.2about zero i hope first term is \(f(0)=1\)

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.2first derivative is \[f'(x)=\frac{3x}{2\sqrt{1x}^3}\] so second term is \[f'(0)x=\frac{3}{2}x\]

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.2yikes, now we need the derivative of that beast

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.2do i have to do that too?

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.2looks like it is \[f''(x)=\frac{7x}{4\sqrt{1x}^5}\]

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.2making the next term \[\frac{f''(0)}{2}x^2=\frac{7}{8}x^2\]

emcrazy14
 2 years ago
Best ResponseYou've already chosen the best response.0So I find the derivative of that too?

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.2\[f'^{(3)}(x)=\frac{333x}{8\sqrt{1x}^7}\]

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.2if so then \(\frac{f^{(3)}(0)}{3!}x^3=\frac{33}{16}x^3\)

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.2hmm let me check if this is right

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.2no messed up \(3!=6\) doh

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.2third term is \(\frac{11}{16}x^3\)

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.2k lets check the whole dam thing and see if it is right

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.2http://www.wolframalpha.com/input/?i=%281%2Bx%29%2Fsqrt%281x%29 yup !!

emcrazy14
 2 years ago
Best ResponseYou've already chosen the best response.0Okay, thank you so much! :)
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