Evaluate $ \lim_{x\to\infty} \frac{\ln(1+e^x)}{x} $
27511
Prove that $\lim_{x \to \infty} \frac{\log(1+e^x)}{x} = 1$
114195
Evaluating $\int_0^\infty \frac{\log (1+x)}{1+x^2}dx$
4578
Evaluate the value of $\lim_{n \to \infty}\frac{x_n}{\prod_{i=1}^{n-1} x_i}$ where $x_n=x_{n-1}^2-2, x_1=5$
53109
Why is this limit $\lim_{n \to \infty}(1 + \frac{1}{n})^n$ equal to $e$?
1869
Why does $\lim_{n\to\infty}(1+\frac{1}{n})^n = e$ instead of $1$?
93408
Trying to show that $\ln(x) = \lim_{n\to\infty} n(x^{1/n} -1)$
98365
How to evaluate $\lim_{x \rightarrow \infty} \left(\left(\frac{x+1}{x-1}\right)^x -e^2\right){x}^2$
37148
How to evaluate $ \lim \limits_{n\to \infty} \sum \limits_ {k=1}^n \frac{k^n}{n^n}$?
74204
Evaluate $\lim_{n\to\infty}(1+x)(1+x^2)\cdots(1+x^{2n}),|x|<1$
105860
Evaluate the limit of $(n+1)\int_0^1x^n\ln(1+x)\,dx$ when $n\to\infty$
51231
Find the limit of $\frac{n^{x}}{(1 + x)^{n}}$
41515
fine the limit : $\lim_{ n \to \infty }\frac{1}{n}\int_{0}^{n}{ \frac{x\ln(1+\frac{x}{n})}{1+x}}=?$
111636
Finding $\lim_{n\to\infty}\int_0^{\frac{1}{2^n}}(1+\cos(x))^n\,dx$
18353
Evaluate of $\lim_{n\rightarrow \infty}\left(\frac{n+1}{n}\right)^{n^2}\cdot \frac{1}{e^n}$
15822
Value of $\lim_{n\to \infty}\frac{1^n+2^n+\cdots+(n-1)^n}{n^n}$
95397
Finding out the limit $\lim_{a \to \infty} \frac{f(a)\ln a}{a}$
122301
Evaluating and proving $\lim\limits_{x\to\infty}\frac{\sin x}x$