Doing some reviewing, and here're some problems that I just seemed to not remember how to do...expediante help will be greatly appreciated

1. What is the approximation of the value of sin 1 obtained by using the fifth-degree Taylor polynomial about x=0 for sin x?

2. Do these Series converge?

Σ(1,inf) n/(n+2)

Σ(1,inf) cos(nΠ) / n

And lastly lim(x->inf) (20x^2 - 13x +5)/(5-4x^3) = 0 right? If not, how do you do it?

There's a good chance that I'll post more convergence stuff later. Can't get it into my head for some reason.