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Showing $\limsup_{h \to {0}}\frac{O(h^2)}{h^2}<\infty$

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#calculus #asymptotics
393
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Proof $10n = O(n^2)$

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#asymptotics
9.2k
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Determine the number of paths of length 2 in a complete graph of n nodes

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#graph-theory #algorithms #asymptotics
1.1k
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How to solve this triple summation problem?

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#summation #asymptotics
415
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Effect of differentiation on function growth rate

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#calculus #real-analysis #derivatives #asymptotics
1.1k
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Proving that one function is big o of another?

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#proof-verification #proof-writing #asymptotics
708
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Algorithms - Solving the recurrence $T(n) = \sqrt{n} T \left(\sqrt n \right) + n$

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#algorithms #recurrence-relations #asymptotics
270
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Show the correctness: $\log^3( n)\in o(n^{0.5})$

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#asymptotics #computational-complexity
701
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How to justify adding and multiplying relations with big-O?

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#asymptotics
27
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Limit of shifted ratios

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#calculus #real-analysis #asymptotics
3k
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Growth faster than polynomial, slower than exponential.

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#asymptotics #computer-science
682
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How to give a big O estimate/visualize for these while loop?

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#discrete-mathematics #asymptotics #computer-science #computational-complexity
1.2k
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Tight bound for $T(n) = T(n^{1/2}) + 1$

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#recurrence-relations #asymptotics
952
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Use recursion tree to give an asymptotically tight solution of T(n)

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#recurrence-relations #asymptotics
181
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Limit and infinite sums. Finding $\lim_{x\rightarrow\infty}\sum^{\infty}_{k=1}\frac{1}{k^3 x-k^2}$

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#calculus #sequences-and-series #limits #asymptotics

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