25 Answered Questions for the topic Power Series

#### Someone please help with this question!

Use the method of Power Series to solve the following nonlinear ODE:Please only use Power series method.

#### Please help with this question!

Use the method of Power Series to solve the following nonlinear ODE:Please only use Power series method.

05/30/20

#### Find the radius of convergence and interval of convergence of the following power series ∑n=1 ∞ (X-1)^n ÷ (3^n) *(n+1)^3

Find the radius of convergence and interval of convergence of the following powerseries∑n=1∞ (X-1)^n ÷ (3^n) *(n+1)^3PLEASE SOLVE WITH STEPS

05/27/20

#### Find the radius of convergence and interval of convergence of the following power series

Find the radius of convergence and interval of convergence of the following powerseries∞∑ (X-1)^n ÷( 3n(n+1)^3)n=1Please I hope if you know how to answer, when you explain this question to put in...
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#### Find the radius of convergence and interval of convergence of the following power series ∑n=1 ∞ (X-1)^n ÷ 3n(n+1)^3

Find the radius of convergence and interval of convergence of the following powerseries∑n=1 ∞ (X-1)^n ÷ 3n(n+1)^3PLEASE SOLVE WITH STEPS

Power Series Calculus

04/24/20

#### Find a power series representation for the function; find the interval of convergence. (Give your power series representation centered at x = 0.)

Find a power series representation for the function; find the interval of convergence. (Give your power series representation centered at x = 0.)f(x)= ((x^2)+1)/(2x-1)[?] + sum from n=0 to infinity...
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Power Series Calculus

04/24/20

#### Find a power series representation for the function; find the interval of convergence. (Give your power series representation centered at x = 0.)

Find a power series representation for the function; find the interval of convergence. (Give your power series representation centered at x = 0.)f(x)= x/(1-x^3)sum from n=0 to infinity [?] provided...
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Power Series Calculus

04/24/20

#### Find a power series representation for the function; find the interval of convergence. (Give your power series representation centered at x = 0.)

Find a power series representation for the function; find the interval of convergence. (Give your power series representation centered at x = 0.)f(x)= 1/(1-9x)sum from n=0 to infinity [?] provided...
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Power Series Calculus

04/24/20

Find a power series representation for the function; find the interval of convergence. (Give your power series representation centered at x = 0.)f(x)= ln(1-8x)sum from n=0 to infinity [?] provided...
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Power Series Calculus

04/24/20

Find a power series representation for the function; find the interval of convergence. (Give your power series representation centered at x = 0.)f(x)= 3/(1+x^2)sum from n=0 to infinity [?] provided...
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#### Use a power series to approximate the definite integral, I, to six decimal places: the integral from 0 to 0.3 of ((x^5)/(1+x^4))dx

NEED HELP ASAP! please provide step by step solution, especially on how to estimate the integral to 6 decimal places. How can you do so without a calculator?

#### I want to find the exact sum of the power series.

I have the power series (n3^n-1)/(2^2n) going from 1 to infinity. How do I find the exact value for the series. I believe that we just use a power series function that we already know and based off...
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#### Find a power series representation of f.

Find a power series representation of f. Use a geometric series and properties of a power series. (Assume that −1 ≤ x ≤ 1.)f(x) = 8 ln(1 + x4)

Power Series Calculus

03/01/19

#### Find a power series representation

Given that 1-x+x2+...+(-x)n is a power series representation for 1/1+x. Find a power series representation for x3/1+x2

12/03/17

#### Find the power series of (x^2)ln(3-x) using term by term differentiation/integration?

how would you find the power series representation of x2ln(3-x) using term by term differentiation or integration?

08/13/17

#### Find the interval of convergence of the power series

Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval. If the interval of convergence is an interval, enter your answer...
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#### Find a power series representation for the following:

Find a power series representation for the following:
3x / (2 - x) , centered at 1

#### Find a power series representation for the following:

Find a power series representation for the following:3x / (2 - x) , centered at 1

Power Series

08/07/14

#### radius and convergence

determine the interval and radius of convergence for the power series Σ n=1 to ∞ of (x^(4n))/(4n)!

Power Series

08/06/14

#### power series

Determine the interval and radius of convergenxe for the power series the summation of x4n (4n)!

Power Series

08/06/14

#### power series

Determine the interval and radius of convergence for the power series of the summation from k=1 to infinity of (x^k)/(k4^k)

Power Series Calculus

11/11/13

#### Find the Power Series in terms of sigma:

Find the Power Series of f(x) = x^5/(4-x^3) in terms of sigma.

Power Series Calculus

11/03/13

#### Find Power Series and interval of convergence

Find Power Series and interval of convergence of g(x) = x-2 ln(1+x2)

Power Series Calculus

11/03/13

#### Find Power Series and interval of convergence

Find Power Series and interval of convergence of f(x) = xe5x

#### Find the Power Series

Find the Power Series of f(x) = ∫ 0->x et-1dt/t
NOTE: Assume the following: g(0) = Lim g(t) as t--->0

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