Limit of integral expression approaches maximum of function
45806
Finding $\lim\limits_{n \rightarrow \infty}\left(\int_0^1(f(x))^n\,\mathrm dx\right)^\frac{1}{n}$ for continuous $f:[0,1]\to[0,\infty)$
149862
Limit of function with natural logarithm
82837
Calculating limit of function
56048
Limit at infinity of $x^{1/x}$
53748
Find maximum value of $\int_{0}^{1}\left(f(x)\right)^3dx$
44269
If $f$ is nonnegative and continuous on $[a,b]$, then $\left(\int_a^b f(x)^n \ dx\right)^{1/n}\to\max\limits_{[a,b]} f$
31931
limit as $x$ approaches infinity of $\frac{1}{x}$
28619
Bound on integral implies bound on function
101630
Limit $\lim_{n\to\infty}\sqrt n(\sqrt[n]x-1)$
56394
What should be the limits in this integration
28413
Limit of a continuous function
9748
Maximum modulus principle for an unbounded function in the half right plane
88597
Improper integral from 1 to infinity $\Rightarrow$ integrated function converges towards zero?
49460
Find the limit of the given function
111279
The value of $\lim_{n \to \infty}\int_{0}^{1}nx^ne^{x^2}dx$
135999
One sided limit of an increasing function defined on an open interval
87373
Setting up limits of integration in this double integral