BC Calculus - Series Assessment

Determine whether the series is absolutely convergent, conditionally convergent, or divergent.

 $\sum_{n=1}^{\infty}\frac{n^2}{2^n}$  

Determine whether the series is absolutely convergent, conditionally convergent, or divergent.

 $\sum_{n=1}^{\infty}\frac{n^2-1}{n^2+1}$  

Determine whether the series is absolutely convergent, conditionally convergent, or divergent.

 $\sum_{n=1}^{\infty}\left(-1\right)^{n-1}\frac{2^n}{n^4}$  

Determine whether the series is absolutely convergent, conditionally convergent, or divergent.

 $\sum_{n=1}^{\infty}\frac{\left(-1\right)^{n+1}}{\sqrt{n}}$  

Determine whether the series is absolutely convergent, conditionally convergent, or divergent.

 $\sum_{n=1}^{\infty}\frac{n^2+1}{n^3+1}$  

What is the Radius of Convergence for;

 $\sum_{n=0}^{\infty}\frac{x^n}{\sqrt{n}}$ 

Which of the following is the first 3 terms for the Maclaurin Series of;

 $f\left(x\right)=\sin\left(x\right)$  

 $f\left(x\right)=e^{2x}$  

Which of the following is the first 3 terms of the Maclaurin Series for;

Write one (1) thing you really enjoyed about this school year.

Do you intend to continue learning about math in the future?