# How do you find the sum of #1/7^2+1/7^3+...+1/7^(n+1)+...#?

The sum of the series is ( \frac{1}{6} ).

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This is of the form of the geometric series

a = 1/7^2 and r = 1/7, and so, the limit is

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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