# Gardel

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bio website location age member for 3 years, 2 months seen Dec 17 at 15:51 profile views 96

I have great admiration for mathematics... contact: elisgardelmat@gmail.com

 19 Why $\lim \limits_ {n\to \infty}\left (\frac{n+3}{n+4}\right)^n \neq 1$? 2 Problem in the second-derivative symbol. 2 How to prove that $\lim_{n\rightarrow\infty} (1-\frac{k}{n})^n = e^{-k}$ and $\lim_{n\rightarrow\infty} (1-\frac{k}{n})^k = 1$? 2 Definite integral using the method of residues 0 Jacobi Theta function inequality

# 533 Reputation

 +5 convergence of the series $\sum_{k=0}^{\infty}E_k(x)$ +20 Why $\lim \limits_ {n\to \infty}\left (\frac{n+3}{n+4}\right)^n \neq 1$? +28 Problem in the second-derivative symbol. +2 Only removable/jump discontinuities

# 7 Questions

 20 A proof of $\int_{0}^{1}\left( \frac{\ln t}{1-t}\right)^2\,\mathrm{d}t=\frac{\pi^2}{3}$ 12 How this integral $\int_0^z\frac{1-e^x}{x} dx$ is connected to the Gamma function and Euler constant? 8 How can we evaluate $\int_{0}^{\infty}e^{-xt}\sin(t)dt$ without using Laplace transforms? 4 If $E|X|<+\infty$ then $\int_{\left(|X|>n\right)}X \;dP\to 0$ 2 How determine or visualize level curves

# 15 Tags

 21 limits × 3 2 terminology 2 complex-analysis × 6 0 integration × 3 2 calculus × 3 0 multivariable-calculus × 2 2 definite-integrals × 2 0 sequences-and-series × 2 2 derivatives 0 theta-functions

# 1 Account

 Mathematics 533 rep 213