Math

CalculusQ&A Library1)*1k4хх-1 in the series In (1 x)4 = 4to obtain a power series for Incentered at x2. What is the interval of convergence for the new power series?Replace x by2k2k 1Choose the correct power series below.(-1)** 1(x-2)*-1x-1*4EA.В.kkk 1k 1(-1) 1x-2)*2k(-1)** (x- 1)*42kKk 1k 1The interval of convergence is (0,4] .(Simplify your answer. Type your answer in interval notation.)Question

Asked Nov 17, 2019

128 views

In the screenshot it shows a problem with a value to substitute into a given series. In the answer explanation, it mentioned that the interval of the original series is -1<x<=1. Why is this/ how can this interval be found from this alternating series?

1 Rating

Step 1

Given that

Step 2

Substitute *x* by *x/2-1*in the above series and simplify it

Step 3

Now to find the interval of convergenc...

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: I am working with power series and this answer explanation shown in the screen shot does not make se...

A: Note that the variable k lies inside the summation as a product terms. So, when k = 0, the first te...

Q: Find an equation of the tangent line to the given curve at the specified point. (1, 0) y = (x2...

A: Given informationGiven curve and point as

Q: 43

A: The given function is f(x) is (x+9)2.Obtain the first and second derivative of the function as follo...

Q: 13

A: Click to see the answer

Q: Question 2 Part A, B, C, & D. Thank you!

A: Note:Since you have posted a question with multiple sub-parts, we will solve first subpart for you. ...

Q: One side of a right triangle is known to be 12 cm long and the opposite angle is measured as 30°, wi...

A: Part (a):To estimate the error in the length of hypotenuse.

Q: Find the area A of the region between the graph of f and the x axis on [-1, 1].

A: Please see the white board for equation formulating the calculation of A.

Q: A lighthouse is located on a small island 4 km away from the nearest point P on a straight shoreline...

A: Let y be the distance of lighthouse from nearest point on the shoreline and at time t, the beam ligh...

Q: A gas station sells Q gallons of gasoline per year, which is delivered N times per year in equal shi...

A: Given:A gas station sells Q gallons of gasoline per year, which is delivered N times per year in equ...