(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

See figure attached.

2. Relevant equations

3. The attempt at a solution

Okay I think I handled the lnx portion of the function okay(see other figure attached), but I'm having from troubles with the,

[tex]\frac{1}{x^{2}}[/tex]

[tex]\int x^{-2} = \frac{-1}{x} + C[/tex]

How do I deal with the C?

If I can get,

[tex]\frac{-1}{x}[/tex]

I can work with it to get something like the following,

[tex]\frac{\text{first term of geometric series}}{1 - \text{common ratio}}[/tex]

So what do I do about the C? Once I figure this out I can make more of an attempt into shaping,

[tex] \frac{-1}{x}[/tex]

into the form mentioned above.

Any ideas?

Thanks again!

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

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Taylor Series using Geometric Series and Power Series

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