deletions | additions       diff --git a/solving-the-sum.tex b/solving-the-sum.tex  index 5ebb22c..000ad61 100644  --- a/solving-the-sum.tex  +++ b/solving-the-sum.tex 
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We know that $H_x$ oscillates around $ln(x)$, and that $H_x \in \mathcal{O}(log(n))$\\  Thus: \[T(n) \in \mathcal{O}(nlog(\sqrt{n}))\]  We use the logarithm identity $log_b(x^d) = dlog_b(x)$ to simplify and yield:  \[T(n) \in \mathcal{O}(nlog(n))\]\end{document}