Find a power series for the function, centered at c. f(x) = 1 9 − x , c = 4 f(x) = [infinity] n = 0 Incorrect: Your answer is incorrect. Determine the interval of convergence. (Enter your answer using interval notation.)

Looks like the given function is

Recall that for |x| < 1, we have

We want the series to be centered around , so first we rearrange f(x) :

Then

which converges for |(x - 4)/5| < 1, or -1 < x < 9.

the answer is 40.

proof:

it should be a.

hope it