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Find the oblique asymptote of $\sqrt{x^2+3x}$ for $x\rightarrow-\infty$

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#limits #asymptotics
33
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how to show that $ \ln (x^2 e^{-x(a-1)}+1) = O(x^2e^{-x(a-1)}) $

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#asymptotics #taylor-expansion
53
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A sum that includes power of binomials: Possible limit?

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#limits #summation #asymptotics #binomial-coefficients #upper-lower-bounds
33
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help showing a simple asymptotic relation?

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#limits #partial-differential-equations #asymptotics
1.4k
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Completing the space of series so there is a slowest converging series

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#real-analysis #sequences-and-series #functional-analysis #asymptotics #nonstandard-analysis
57
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Are two sequences comparable with big O notation if they are positive, decreasing and with limit $0$?

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#sequences-and-series #asymptotics
42
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Asymptotics of Moments for Spherically-Truncated Gaussian Random Variable

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#probability-theory #statistics #asymptotics #taylor-expansion #normal-distribution
785
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The asymptotic expansion of an integral of an exponential function

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#real-analysis #asymptotics
150
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Show the asymptotic relation

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#real-analysis #probability #sequences-and-series #numerical-methods #asymptotics
1k
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Asymptotic behaviour of sums involving $k$, $\log(k)$ and $H_{k}$

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#sequences-and-series #asymptotics
132
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Asymptotic approximation of a sum involving log and binomial coefficient

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#summation #asymptotics #binomial-coefficients #approximation #closed-form
250
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Time complexity of a variation of Newton-Raphson method

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#asymptotics #taylor-expansion #newton-raphson
506
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Asymptotic for $y'' + \frac{\epsilon y'}{y^2} - y' = 0$, $y(-\infty) = 1$, $y(+\infty) = \epsilon$.

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#ordinary-differential-equations #asymptotics #perturbation-theory
101
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Additivity properties of asymptotic bounds

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#algorithms #asymptotics #computer-science #computational-complexity
210
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Uniform Continuity on unbounded interval

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#real-analysis #asymptotics #uniform-continuity

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