Limits of integration become equal upon substitution
36701
$\displaystyle\int_{0}^{2\pi}\frac{1}{a+ \cos\theta}\,d\theta$
15947
Validity of Substitutions in Integrals
77623
Limit of ratio ${f(x)\over x}$ equal to limit of difference $f(x+1)-f(x)$.
14012
The limit of a complex integral
17019
Show that: $\lim\limits_{r\to\infty}\int\limits_{0}^{\pi/2}e^{-r\sin \theta}\text d\theta=0$
43197
Showing that two definitions of $\limsup$ are equivalent
151568
Limit Integral equal to a supremun: $\lim_{n\to \infty} \left[\int_a^b (f(x))^n dx\right]^{{1}/{n}}=\sup_{x\in [a,b]} f(x).$
57938
When do two functions become equal?
156663
Interchanging limit with infimum/supremum
64081
Sequence converging to different limits
44336
Is $\lim\limits_{x\to x_0}f'(x)=f'(x_0)$?
144422
How to prove that $\lim\limits_{x\to\infty} f(x)/x=L$
120493
L'hopitals rule with limits
33164
Formal basis for variable substitution in limits
19023
Infinite Integration by Parts
63894
These two sequences have the same limit
47432
Change of Variables in Limits (Part 1)