Tara wants to lose 10 lbs. before spring break so that she looks and feels her best in a bathing suit. In the next 12 weeks, she
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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.