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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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