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Comparing algorithm running times expressed in complex form

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#functions #discrete-mathematics #algorithms #asymptotics
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Is 'every exponential grows faster than every polynomial?' always true?

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#functions #discrete-mathematics #algorithms #asymptotics
519
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Taylor series of $\arctan(x+2)$ at $x=\infty$

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#analysis #asymptotics #taylor-expansion
1.8k
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Running time of a function of n

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#algorithms #asymptotics
92
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What is the difference between $O(N/ \log_2(N))$ and $N-o(N)$?

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#asymptotics #computational-complexity #cryptography
1.1k
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Running time of a function of n with while loop

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#algorithms #asymptotics
47
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Would this be bounded

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#real-analysis #combinatorics #geometry #analysis #asymptotics
53
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Finding $k$, $C_1$, and $C_2$ when $f(x)$ is $Θ(g(x))$

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#asymptotics
31k
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Why do we use big Oh in taylor series?

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#calculus #notation #asymptotics #taylor-expansion
8k
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Proving that $3n^2 + n \log_2n - 2$ is $\Theta (n^2 - 5n +1)$

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#asymptotics
129
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Asymptotic expansion of $(1+\frac{t}{n})^{-n-1}$ at $n \to \infty$

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#asymptotics
1k
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Bernoulli numbers: comparison to factorials

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#asymptotics #special-functions #analytic-number-theory #bernoulli-numbers
115
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Prove $T(n) = 2T(\frac{n}{2} - 3) + n$ is $O(n\lg n)$

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#algorithms #asymptotics #recursive-algorithms
337
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Find asymptotic of recurrence sequence

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#calculus #sequences-and-series #limits #asymptotics #recurrence-relations
320
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Asymptotic of Stirlings numbers of the first kind

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#asymptotics #stirling-numbers

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