Hi, can someone please help me with this problem? I started it but couldn't finish. Thanks a lot!!
f(x) = 3x/1-5x^3
= 3x * 1/1-5x^3
= 3x sigma (5x^3)^n...
Now I think I need to integrate both sides. but I am not sure if what I have done is correct so far?
Now to finish the problem I need to integrate both sides
Here is what I did:
integral 1/1- 5x^3 = integral 5^n x^3n
sigma 5x^3n + sigma 5^n x^5n+1/5^n+1
= sigma 5^n x^5n+1/ 5n+1 + C
so radius of convergence = 5
interval of convergence = (-5,5)
So my question is are these calculations correct cause I am still confuse. Thanks again.