express the function as the sum of a power series by first using partial fractions. f(x) = (x + 7) /(2x^2 − 11x − 6 )
f(x) = ∞ n = 0 find the interval of convergence. (enter your answer using interval notation.)

Factorize the denominator:

Then we look for coefficients such that

So we have

Recall that for , we have

Now,

for , or , and

for , or .

The interval of convergence for is the intersection of these two intervals,

answer: it's upside down and i can't read it

step-by-step explanation:

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d