A limit of the p-th power of a function integral
23677
"Scaled $L^p$ norm" and geometric mean
43897
An integral inequality (Rudin $L^p$-spaces 3.12)
122073
Computing $\lim_{n \rightarrow\infty} \int_{a}^{b}\left ( f(x)\left | \sin(nx) \right | \right )$ with $f$ continuous on $[a,b]$
42817
proving $\lim\limits_{n\to\infty} \int_{0}^{1} f(x^n)dx = f(0)$ when f is continous on [0,1]
43829
Limit of $h_n(x)=x^{1+\frac{1}{2n-1}}$
90558
A question related to a convergence of an integral
155475
$\lim\limits_{n\to \infty} \int_0^1 |f(x)-a_nx-b_n| dx=0$ implies $(a_n)_n,(b_n)_n$ are convergent
142025
How can I show that if $f\in L^p(a, b)$ then $\lim_{t\to 0^{+}}\int_{a}^b |f(x+t)-f(x)|^p\ dx=0$..
5167
Finding the limit that involves Fourier coefficients,
1234
Evaluating limits of integrals
142854
Convergence of Integrals - A Problem
44458
Uniform limit of holomorphic functions
110275
Let $p>0$. Show the $\lim_{n\to\infty}(a^n/n^p)$ is equal to:
155006
Upper bound and lower bound of an integral
41434
Show that: $\lim \limits_{n \rightarrow+\infty} \int_{0}^{1}{f(x^n)dx}=f(0)$
93806
$\|f\|_{L^{p}}=\sup\left\{\int_{{\bf R}^{n}}|f(x)g(x)|~dx:\|g\|_{L^{q}}\le1\right\}$
126736
Show that $\lim_{\epsilon\to0^{+}}\frac{1}{2\pi i}\int_{\gamma_\epsilon}\frac{f(z)}{z-a} \, dz=f(a)$