Find $\lim_{p \to 0} ( \int_{0}^{1} f(x)^p dx)^{1/p}$
70790
Evaluation of $\lim_{q \to 0} (\int_0^1 |f|^q)^{1/q} $ for $f \in L^1([0,1])$.
90245
Computing $\int^1_0 \frac{p^2-1}{\text{ln } p}dp$
144422
How to prove that $\lim\limits_{x\to\infty} f(x)/x=L$
74919
Finding limit of function $\lim_{x\to 0}\left(\frac{(1+x)^\frac1x}{e}\right)^\frac1x$
19898
Limit $\lim (1+(a^{1/n}-1) / b)^n$
142025
How can I show that if $f\in L^p(a, b)$ then $\lim_{t\to 0^{+}}\int_{a}^b |f(x+t)-f(x)|^p\ dx=0$..
129042
Prove that $\lim_{a \to 0^{+}} \int_{0}^{a} \frac{1}{\sqrt{\cos(x)-\cos(a)}} \;dx=\frac{\pi}{\sqrt{2}}$
155190
Stone-Weierstrass theorem with $p(1/x)$
92685
Let $f:[0,1]\to\mathbb{R}$ be a continuous function. Calculate $\lim\limits_{c\to 0^+} \int_{ca}^{cb}\frac{f(x)}{x}\,dx$
64001
What is the result of $\lim\limits_{x \to 0}(1/x - 1/\sin x)$?
107237
Evaluate $\lim_{n\rightarrow\infty} \int_0^1 f(x^n) dx$
19263
Limit as $x\to 0$ of $\frac{(1+x)^{1/x}-e}{x}$
41419
Solution of limit $\lim\limits_{x\to 0} \frac {e^{-1/x^2}}{x} $
150896
Show that $\lim_{p \to \infty} \| f \|_p = \| f \|_\infty$
18156
Find $\lim_{x\to \infty} \ln(x+1)/(\ln(x))$
88792
Convergence of $\int_0^\infty $sin$ (x^p) dx$
156231
Computing $\lim\limits_{n\to\infty} \int_{0}^{\infty}\frac{\sin(x/n)}{(1+x/n)^{n}}\, dx$