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

Q: Determine the order of growth for the following function  ((n^n) + (n2^n) + (5^n )(n! + (5^n) )

A:

Q: \int (5xdx )/(4-2x^(2))

A: Given: The integral ∫5xdx4-2x2, To evaluate: The given integral. Formula used: ∫f'(x)dxf(x)=ln|fx|.

Q: \sum_(n=1)^(\infty ) \cos (5)/(n)

A: We have to find whether the given series converges or diverges?

Q: Use a graph of $y-1 / x$ to show that if $s_{n}$ is the $n$ th partial sum of the harmonic series,…

A:

Q: SSedydx calculate the value of the int@glal

A: To determine the value of the integral.

Q: S csc6 cot* w dw W

A: Given,           ∫csc614wcot414wdw

Q: \sum_{n=1}^{=} \frac{\sin 4 n}{4^{n}}

A:

Q: Find the Radius of Convergence and Interval of Convergence with the power series N=1 to infinity;…

A: Given,∑n=1∞3nx-1nn

Q: f the $n$ th partial sum of a series $\sum_{n=1}^{\infty} a_{n}$ is $s_{n}=3-n 2^{-n}$ ind $a_{n}$…

A: The nth partial sum of the series ∑n=1∞an is Sn=3-n2-n. We have to find an and ∑n=1∞an.

Q: \text { Find the sum of the series }…

A:

Q: \sum_{k=1}^{\infty} \frac{k(k+2)}{(k+3)^{2}}

A: We first function the limit of the given term as k approaches ∞

Q: \sum_{n=2}^{\infty} \frac{2}{n^{2}-1}

A: We first express the summation as subtraction of two summations

Q: Number 5

A: Square both sides and then simplify Use (a+b)^2= a^2+2ab+b^2

Q: Tom wants to invest $500. He invests in a company that predicts his investment will double in value…

A: Initial investment is $500 and the money gets doubled in 3 years.

Q: need to be shown how to work this problem sumation where n=0 to infinitive than solve      3^n /…

A: Topic:- function

Q: \begin{aligned}&\text { Show that if } \lim _{n \rightarrow \infty} a_{2 n}-L \text { and } \lim…

A:

Q: Fpr the convergent series from 1 to infinity of ((-1)^k*k)/(k^2+1), what is the value of the series…

A:

Q: An important example of an infinite series is the geometric series a+a r+a r^{2}+a r^{3}+\dots+a…

A: A geometric series is a type of infinite series in which each term is obtained by multiplying the…

Q: A rental truck costs $45.45 for a day plus 94¢ per mile. (a) If x is the number of miles driven,…

A: Given that, a rental truck costs $45.45 for a day plus 94c per mile.

Q: \sum_{n=1}^{2} \frac{1}{n^{5}}

A: As per the latex provided, we need to find

Q: \sum_{n=1}^{\infty} \frac{n^{2}-1}{3 n^{4}+1}

A: