Tuesday

September 2, 2014

September 2, 2014

Posted by **A.** on Tuesday, December 4, 2012 at 2:27pm.

---This is what I tried to do---

So I was thinking of taking the derivative of ln(1+x/1-x) and get 2/x^2-1

And then use the identity 1/1-x= sum x^k

So then it will be Sum (-2^k) (x^2k)

- MATH -
**Steve**, Tuesday, December 4, 2012 at 3:10pmyou have the right idea.

First, df/dx = -2/(1-x^2), but I'd do it like this:

f(x) = ln(1+x) - ln(1-x)

ln(1+x) = 0+x-x^2/2+x^3/3-x^4/4+x^5/5+...

ln(1-x) = 0-x-x^2/2-x^3/3-x^4/4-x^5/5-...

subtract to get

0 + 2x + 2x^3/3 + 2x^5/5 + ...

**Answer this Question**

**Related Questions**

Algebra - Express the sum below using summation notation. Use 1 as the lower ...

Calculus - Taylor #2 - Find the Taylor series for f(x) centered at the given ...

Calculus 2 - The following function has a series of the form the sum from n=0 to...

Calculus - Hi~ Thank you for your help! I was trying to work on a problem about ...

Algebra 2 - Write the series with summation notation 3+9+19+33+51+73 I'm not ...

calculus-- need help desperately! - The Taylor series about x=5 for a certain ...

Calc 2 taylor series - use the definition of a taylor series to find the Taylor ...

Math - Hello, I am learning about Taylor series in school, but they are quite ...

Calculus - Please.... I need your help! I posted this question yesterday and no ...

Calculus - 6.] Replace the integral in exercise 5 (int. (1/ 1 – t) dt a = 0, b...