Determine the radius of convergence of the following power series. then test the endpoints to determine the interval of convergence.

σ(21x)^k

the radius of convergence is r =

a. the interval of convergence is {x: x= }
b. the interval of convergence is:

Radius of the convergence is R =

and,

The Interval of convergence is

Step-by-step explanation:

Given function : Σ(21x)^k

Now,

Using the ratio test, we have

R =

or

R =

or

R =

now,

for convergence R|x| < 1

Therefore,

< 1

or

and,

Radius of the convergence is R =

and,

The Interval of convergence is

ok

step-by-step explanation:

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation: