Homework Statement
ln(1-X), |x|<1
Homework Equations
Could someone verify if it was developed correctly?
The Attempt at a Solution
ln(1-x) = \sum_{n=0}^\infty \left (a_nx^n\right )
1+a+a^2+a^3+a^4+a^5+a^6... = 1/(1-a)
a=x
1+x+x^2+x^3+x^4+x^5+x^6... = 1/(1-x)...
Thanks for answering, I am studying series on my own and I am still not sure how to solve them but I would like to use these three exercises as examples, it would be very helpful to have the procedure.
Poster warned that the homework template is not optional.
Determine if they are convergent or divergent, If it converges find the sum:
∞
∑ 3^(n-1) 2^n
n=1
∞
∑ ln(1/n)
n=1
∞
∑ tan^n ( π/6)
n=1
I tried to find information on how to solve them but I couldn't, thanks for the help