# Calculus 2 questions and answers

Recent questions in Calculus 2
Joan Thompson 2022-01-19 Answered

### How can I evaluate $$\displaystyle{\sum_{{{n}={1}}}^{{\infty}}}{\frac{{{2}{n}}}{{{3}^{{{n}+{1}}}}}}$$

Mary Hammonds 2022-01-19 Answered

### How do I prove: $$\displaystyle\lim_{{{n}\to+\infty}}{\sqrt[{{n}}]{{{n}!}}}$$ is infinte?

Chris Cruz 2022-01-19 Answered

### How to find infinite sum How to find infinite sum $$\displaystyle{1}+{\frac{{{1}}}{{{3}}}}+{\frac{{{1}\cdot{3}}}{{{3}\cdot{6}}}}+{\frac{{{1}\cdot{4}\cdot{5}}}{{{3}\cdot{6}\cdot{9}}}}+{\frac{{{1}\cdot{3}\cdot{5}\cdot{7}}}{{{3}\cdot{6}\cdot{9}\cdot{12}}}}+\ldots$$

Joanna Benson 2022-01-18 Answered

### How to show the following equality? $$\sum_{n=0}^\infty\frac{1}{a^2+n^2}=\frac{1+a\pi\coth a\pi}{2a^2}$$

Sandra Allison 2022-01-18 Answered

### Test the condition for convergence of $$\displaystyle{\sum_{{{n}={1}}}^{\infty}}{\frac{{{1}}}{{{n}{\left({n}+{1}\right)}{\left({n}+{2}\right)}}}}$$ and find the sum if it exists.

Sandra Allison 2022-01-18 Answered

### Can you please explain why $$\displaystyle{\sum_{{{k}={1}}}^{\infty}}{\frac{{{k}}}{{{2}^{{k}}}}}={2}$$

Daniell Phillips 2022-01-18 Answered

### How to prove: $$\displaystyle{\sum_{{{n}={0}}}^{\infty}}{\frac{{{n}^{{2}}}}{{{2}^{{n}}}}}={6}$$

Roger Smith 2022-01-17 Answered

### I'm supposed to calculate: $$\displaystyle\lim_{{{n}\to\infty}}{e}^{{-{n}}}{\sum_{{{k}={0}}}^{{n}}}{\frac{{{n}^{{k}}}}{{{k}!}}}$$

Monique Slaughter 2022-01-16 Answered

### Showing that: $$\displaystyle\lim_{{{n}\to\infty}}{\frac{{{\sqrt[{{n}}]{{{n}!}}}}}{{{n}}}}={\frac{{{1}}}{{{e}}}}$$

Shirley Thompson 2022-01-16 Answered

### Test the convergence of the following series: $$\displaystyle{\frac{{\sqrt{{{n}+{1}}}-{1}}}{{{\left({n}+{2}\right)}^{{3}}-{1}}}}+\ldots+\infty$$

Concepcion Hale 2022-01-07 Answered

### Evaluate the integral. $$\displaystyle{\tan{{x}}}{{\sec}^{{{3}}}{x}}{\left.{d}{x}\right.}$$

Charles Kingsley 2022-01-07 Answered

### Evaluate the integral. $$\displaystyle\int{\frac{{{1}}}{{{x}{\left({x}-{a}\right)}}}}{\left.{d}{x}\right.}$$

Judith McQueen 2022-01-07 Answered

### Evaluate the following indefinite integral. $$\displaystyle\int{{\cos}^{{{4}}}{\left({x}\right)}}{\sin{{\left({x}\right)}}}{\left.{d}{x}\right.}$$

Concepcion Hale 2022-01-07 Answered

### Given $$\displaystyle\int{\left({x}^{{{5}}}-{3}{x}^{{{4}}}+{6}{x}^{{{3}}}+{3}\right)}{\left.{d}{x}\right.}$$, evaluate the indefinite integral.

When you are dealing with any Calculus 2 homework, it is vital to have a look at the various questions and answers that will help you see whether you are correct in your approach to finding solutions. Even if you are dealing with analytical aspects of Calculus 2, it will be helpful as you are looking at provided equations and learn how the answers relate to original questions and problems specified.

Do not be afraid to take a look at the basic integration and related application if Calculus 2 does not sound clear or start with the Calculus 1 first.

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