Find the values of x for which the series converges. (Enter your answer using interval notation.) ∞ (x - 7)^n 6^n n = 0 Find the sum of the series for those values of x.
Added by Jose Luis W.
Step 1
We can use the Ratio Test for this purpose. The Ratio Test states that if the limit as n approaches infinity of the absolute value of the ratio of consecutive terms is less than 1, then the series converges. Let's find the ratio of consecutive terms: \(\frac{(x Show more…
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