Question

did I do this right?

**8.6.4.** **Determine the radius and interval of convergence.**

Sum from k=0 to inf, ((k)/(2^k)(x^k)

Or sqrt(x^2)

-2 to 2

Therefore converges when |x|<2

So the radius is 2

Step 1

Firstly, we find the radius of convergence as shown on board.

Therefore, series is convergent for every x between -2 to 2.

Step 2

At x=-2, series is oscillting and hence not convergent

At x=2, series is divergent as its sequence of parti...

Tagged in

Q: You are given the four points in the plane A=(8,−8), B=(10,4), C=(12,−1), and D=(16,1). The graph of...

A: We have given the four point in the plane A, B, C and D.The total integral is to be the sum of the a...

Q: I need D,E,F

A: (D) When the object strick ground then s=0Answer(D) The object stricks ground at 60 s.

Q: Optimization Problem A rectangle is constructed with its base on the diameter of a semicircle with r...

A: a)Let x and y be the base and height of the rectangle, respectively.Given that, the rectangle is con...

Q: The region is formed by the graphs of y 4x and y 12-x. Find the volume of the solid obtained by revo...

A: For the shaded part the outer radius = 12-x and inner radius = 4sqrt(x).

Q: Only problem I'm stuck on for this assignment please help!

A: Hi there! The question is having many sub-parts. Since no specification is given, only first three s...

Q: (2x-3)4 dx 10

A: Given:The integral is

Q: Need a,b, and c please!

A: The given equation is s = –0.2t2 + 12t and the velocity is v =12 m/s. a. Obtain the velocity v of th...

Q: Use the second derivative test to identify any critical points and determine whether each critical p...

A: We have to find any critical points and determine whether each critical point is a maximum, minimum...

Q: Help with #10

A: The acceleration of the moving particle is given by,a(t)=2ti+etj+cos(t)k To find the velocity ...

Sorry about that. What wasn’t helpful?