Looks like your function is

Rewrite it as

Recall that for
, we have

If we replace
with
, we get

By the ratio test, the series converges if

Solving for
gives the interval of convergence,

We can confirm that the interval is open by checking for convergence at the endpoints; we'd find that the resulting series diverge.
Answer:
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Step-by-step explanation:
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The simplified answer is 
If you are dividing powers with like terms you subtract the denominator to the numerator.
2.25 + 0.59 + 6.49 + 1.49 = 10.82 dollars
10.82 - 5.25 = $5.57 is his total purchase
D = sqrt (x2 - x1)^2 + (y2 - y1)^2
(1,-2)(10.-4)
d = sqrt (10 - 1)^2 + (-4 - (-2)^2
d = sqrt (9^2 + (-4 + 2)^2
d = sqrt (9^2 + (-2^2)
d = sqrt (81 + 4)
d = sqrt 85
d = 9.2