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Reciprocal Sums

Calculus Level 3

Let $g = 10^{100}$ denote one googol. What is the value of

$\dfrac1g+\dfrac1{g+1}+\dfrac1{g+2} + \cdots?$

1

\frac1{ \sqrt{g} }

\frac1{10^{99} }

\frac1{g-1}

\infty

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by William Whitehouse

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