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Express the number as a ratio of integers.

Express the number as a ratio of integers.

asked Feb 11, 2015 in CALCULUS by anonymous
reshown Feb 11, 2015 by goushi

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1 Answer

Step 1 :

The geometric series

is convergent if and its sum is

If , the geometric series is divergent.

Step 2 :

The expression is

Rewrite the expression.

The above series is geometric series with and .

Observe that .

Hence, the geometric series is convergent.

The sum is

Solution :

answered Feb 11, 2015 by Thomas Apprentice

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