Question

a) Determine the series of the given function. In the first box after the summation symbol,...

a) Determine the series of the given function. In the first box after the summation symbol, type in -1 or 1 indicating whether the series is alternating or not.
b) Write out the sum of the first four nonzero terms of the series representing this function.
c) Determine the interval of convergence. The outside boxes require the endpoints and the inside boxes require the symbol < or <=

1) ln(1-6x)

a) Series:

b) First 4 nonzeroes

c) within the interval of convergence

2) 1/(1+6x)^2

a) Series:

b) First 4 nonzeroes

c) within the interval of convergence

3) 9/(10+x^2)

a) Series:

b) First 4 nonzeroes

c) within the interval of convergence

4) arctan(x/(10)^1/2)

a) Series:

b) First 4 nonzeroes

c) within the interval of convergence

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A) Find the first 4 nonzero terms of the Taylor series for the given function centered...
A) Find the first 4 nonzero terms of the Taylor series for the given function centered at a = pi/2 B) Write the power series using summation notation f(x) = sinx
Find a power series representation for the function and determine the radius of convergence. 1) f(x)=x^3/(x-2)^2...
Find a power series representation for the function and determine the radius of convergence. 1) f(x)=x^3/(x-2)^2 2) f(x)=arctan(x/3)
Given the alternating series: sigma(2 to infinity): (-1)^n / ln n Determine if the series converge...
Given the alternating series: sigma(2 to infinity): (-1)^n / ln n Determine if the series converge absolutely.    (Use the fact that: ln n < n) Determine if the series converge conditionally. (Estimate the sum of the infinite series using the first 4 terms in the series and estimate the error. How many terms should we use to approximate the sum of the infinite series in question, if we want the error to be less than 0.5?
Expand the given function as a power series with the center c=0 (show the first four...
Expand the given function as a power series with the center c=0 (show the first four non-zero terms) and determine the radius of the convergence. f(x)=2/(3-4x)
1) find the Taylor series expansion of f(x)=ln(x) center at 2 first then find its associated...
1) find the Taylor series expansion of f(x)=ln(x) center at 2 first then find its associated radius of convergence. 2) Find the radius of convergence and interval of convergence of the series Σ (x^n)/(2n-1) upper infinity lower n=1
Consider the Taylor Series for f(x) = 1/ x^2 centered at x = -1  ...
Consider the Taylor Series for f(x) = 1/ x^2 centered at x = -1           a.) Express this Taylor Series as a Power Series using summation notation. b.) Determine the interval of convergence for this Taylor Series.
Use substitution to find a Taylor series representations for the following functions. You should not use...
Use substitution to find a Taylor series representations for the following functions. You should not use the definition here. Include a radius of convergence for each series, and write out the first four nonzero terms. f(x) = 5x^4 ln(1+4x) and g(x)=7x^2/1-3x
7.              Determine the first 4 nonzero terms of the Taylor series for the solution y = φ(x)...
7.              Determine the first 4 nonzero terms of the Taylor series for the solution y = φ(x) of the given initial value problem, y’’ + cos(x)y’ + x2y = 0; y(0) = 1, y’(0) = 1. What do you expect the radius of convergence to be? Why? please show all steps
expand in Maclaurin's series the function f (x) = 1 / (1-x)^2. from the definition and...
expand in Maclaurin's series the function f (x) = 1 / (1-x)^2. from the definition and determine the convergence interval and r, the radius of convergence of this series
Find a power series representation for the function; determine the interval of convergence. f(X) = (3x^2)/(5x+1)
Find a power series representation for the function; determine the interval of convergence. f(X) = (3x^2)/(5x+1)