Express the function as the sum of a power series by first using partial fractions. f(x) = 8 x2 − 4x − 12 f(x) = ∞ n = 0 find the interval of convergence. (enter your answer using interval notation.)

I'm guessing the function is

which, split into partial fractions, is equivalent to

Recall that for we have

With some rearranging, we find

valid for , or , and

valid for , or .

So we have

Taken together, the power series for can only converge for , or .

b or 2, just plug these equations into your graphing calculator then check the graph to see the image. if it matches up then that's your answer!

replace   with   27   and simplify.

10 , 27 , 10 , 70 , 10 , 35 , 10 , 48

step-by-step explanation: