 Recent questions in Calculus 2 Josalynn 2020-10-26 Answered

Discuss the convergence of the following series: $$\displaystyle{\sum_{{{n}={1}}}^{\infty}}{\frac{{{\cos{{n}}}\pi}}{{{n}^{{2}}+{1}}}}$$ slaggingV 2020-10-26 Answered

For each of the following series, using no tests besides the nth Term and Comparison Tests, determine whether the series converges, diverges to $$\pm\infty$$, or diverges, not to $$\pm\infty$$ $$\sum\frac{n-1}{n^2-1}$$ Marvin Mccormick 2020-10-25 Answered

Find the sum of the convergent series. $$\sum_{n=1}^\infty\frac{1}{9n^2+3n-2}$$ sibuzwaW 2020-10-25 Answered

Use the Alternating Series Test, if applicable, to determine the convergence or divergence of the series. $$\sum_{n=2}^\infty\frac{(-1)^nn}{n^2-3}$$ generals336 2020-10-25 Answered

Determine whether the given series is convergent or divergent. Explain your answer. If the series is convergent, find its sum. $$\sum_{n=0}^\infty\frac{3^n+2^{n+1}}{4^n}$$ Cem Hayes 2020-10-23 Answered

Use the Integral Test to determine whether the infinite series is convergent. $$\sum_{n=1}^\infty\frac{5}{4^{\ln n}}$$ texelaare 2020-10-23 Answered

Identify a convergence test for the following series. If necessary, explain how to simplify or rewrite the series before applying the convergence test. You do not need to carry out the convergence test. $$\sum_{k=3}^\infty\frac{2k^2}{k^2-k-2}$$ jernplate8 2020-10-23 Answered

Radius and interval of convergence Determine the radius and interval of convergence of the following power series. $$x-\frac{x^3}{4}+\frac{x^5}{9}-\frac{x^7}{16}+...$$ floymdiT 2020-10-23 Answered

Use the Limit Comparison Test to determine the convergence or divergence of the series. $$\sum_{n=1}^\infty\frac{1}{n^2(n^2+4)}$$ Rivka Thorpe 2020-10-21 Answered

Find the Maclaurin series for the function. (Use the table of power series for elementary functions.) $$f(x)=\frac{e^{x^4}}{4}$$ Bergen 2020-10-21 Answered

Representing functions by power series Identify the functions represented by the following power series. $$\sum_{k=1}^\infty\frac{x^{2k}}{k}$$ foass77W 2020-10-20 Answered

Use the formula for the sum of a geometric series to find the sum. $$\sum_{n=4}^\infty(-\frac49)^n$$ ka1leE 2020-10-20 Answered

Show that the series converges. What is the value of the series? $$\sum_{n=2}^\infty(-\frac{5}{3})^n(\frac{2}{5})^{n+1}$$ Wierzycaz 2020-10-19 Answered

Determine if the series converges or diverges. If the series converges find its sum $$\sum_{n=1}^\infty\frac{6}{(4n-1)(4n+3)}$$ lwfrgin 2020-10-19 Answered

Determine if the following series converge. If the series converges, calculate its value. Justify your answer. $$\sum_{n=1}^\infty\frac{n^2}{n!(\log(2))^n}$$ Khadija Wells 2020-10-19 Answered

a) Find the Maclaurin series for the function $$f(x)=\frac11+x$$ b) Use differentiation of power series and the result of part a) to find the Maclaurin series for the function $$g(x)=\frac{1}{(x+1)^2}$$ c) Use differentiation of power series and the result of part b) to find the Maclaurin series for the function $$h(x)=\frac{1}{(x+1)^3}$$ d) Find the sum of the series $$\sum_{n=3}^\infty \frac{n(n-1)}{2n}$$ This is a Taylor series problem, I understand parts a - c but I do not understand how to do part d where the answer is $$\frac72$$

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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