Determine whether the intergral converges: $\int_1^\infty\cos(x^{3/4}) \,dx$
100744
Proof for divergence of $\int_1^\infty \cos(x^\frac{3}{4})$
68368
Evaluate $\lim_{n \to \infty} \int_{0}^1 [x^n + (1-x)^n ]^{1/n} \ \mathrm{d}x$
9263
Convergence of $\sum_{n=1}^\infty\frac{n!\, i^n}{n^n}$
74903
Find out whether $\sum_{k=1}^{\infty}\left(\frac{1+\cos k}{2+\cos k}\right)^{2k}$ converges absolutely, conditionally or diverges.
72693
Prove: $\lim_{x\to\infty}x^{2/3}((x+1)^{1/3}-x^{1/3})=1/3$
41751
$\sum_{n=1}^\infty \frac{i^n}{n}$ converge?
30150
Testing convergence of series $\sum_{n=3}^\infty\frac{1}{n (\ln(n))^p(\ln\ln(n))^q}$
17028
How to test if $\sum_{n=1}^{\infty }\frac{1}{n^{1+\frac{1}{n}}}$ converges?
48233
Evaluating $\int_0^\infty \frac{dx}{1+x^4}$.
69808
For which values of $\alpha$ and $\beta$ does the integral $\int\limits_2^{\infty}\frac{dx}{x^{\alpha}\ln^{\beta}x}$ converge?
14858
Determine if $\sum_{n=1}^\infty \frac{n+4^n}{n+6^n}$ converges
122843
Finding $\int_0^\infty \frac{\cos(ax)-\cos(bx)}{x}dx$
98710
Finding $\int_0^{\infty}xe^{-\lambda x} \, dx$
77142
Determining convergence of $\frac{n}{e^n}$
56867
Convergence proof that involves integral
68866
Is $\int_{-\infty}^{\infty} \sin x \, \mathrm{dx}$ divergent or convergent?
4220
Does $\int_{0}^{\infty}\frac{dx}{1+(x\sin5x)^2}$ converge?