# Taylor series problem

• May 10th 2011, 03:58 AM
luenne
Taylor series problem
I am having some trouble rewriting this a series in a taylor series form. Somehow I always get a result that does not seem right. Here is the question:
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I would be very happy if someone could help me out. Thanks in advance.
• May 10th 2011, 04:36 AM
topsquark
Quote:

Originally Posted by luenne
I am having some trouble rewriting this a series in a taylor series form. Somehow I always get a result that does not seem right. Here is the question:
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I would be very happy if someone could help me out. Thanks in advance.

$\displaystyle\sum_{n=0}^{+\infty}\dfrac{(2x+4)^n}{ \sqrt{n^2+5}}=\ldots$
$\displaystyle\sum_{n=0}^{+\infty}\dfrac{2^n}{\sqrt {n^2+5}}(x-(-2))^n$