Find a power series representation for the function. determine the interval of convergence. (give your power series representation centered at x = 0.) f(x) = 5 2 − x

I'm guessing the function is

whose first few derivatives are

with a general pattern of

Then has power series (centered at 0)

which is a geometric series, converging only for

(this is the interval of convergence)

###

If you know that for

then we can derive the same series by manipulating this result:

answer: 5

step-by-step explanation:

something over 10 so ? /10

step-by-step explanation: