Question

Show $\lim_\limits{n\rightarrow \infty} \sqrt{n}(|c+\frac{d}{\sqrt{n}}|-|c|) = d* sign(c)$

score 49 · Answer 1 · 2026-04-03 18:17:40

49

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List Question

Show $\lim_\limits{n\rightarrow \infty} \sqrt{n}(|c+\frac{d}{\sqrt{n}}|-|c|) = d* sign(c)$

Asymptotic Relative Efficiency of Sample Mean and Median

Evaluating $\lim_{x\to\infty}\frac{1}{x}\int_2^x M(t)\cdot f'(t)dt$, where $M(x)$ is Mertens functions

Errors in our estimation of a function- and what does big-O notation have to do with it?

Finding the least integer n for a function Big-O of another function?

Can I say $\log{O(n)}$?

Book Recommendations on Perturbation Theory

How to show $\zeta (1+\frac{1}{n})\sim n$

Big O - equivalent definitions

How many binary polynomials of degree <2n-1 are the the product of polynomials of degree <n?

Asymptotic formula for $\prod_{k=1}^{\infty}\zeta (2kn)$

What is the order of the quantifiers in the definition of big-O?

Give a big-O estimate of $(x+1)\mathrm{log}(x^2+1) + 3x^2$

Proving Gale-Shapley algorithm completes in $O(n^2)$

Asymptotic Expansion for an Integral

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