Find $x+ \frac {2}{1 .3} x^3 + \frac {2.4}{1.3.5} x^5 + \dots \infty $ for all $x \in (0, 1)$
139307
Closed form expression for infinite series
97571
Find the limit $ \lim_{n\to \infty} 2^{\frac{1}{n}}$
132124
$\int_{0}^{\infty}\frac{x}{x^3+1}dx$ =?
140622
Find the value of : $\lim_{x \to \infty} \sqrt{4x^2 + 4} - (2x + 2)$
136444
Evaluating $\sum_{n=0}^\infty\frac{(-1)^n}{3n+1}$
122843
Finding $\int_0^\infty \frac{\cos(ax)-\cos(bx)}{x}dx$
60104
Evaluate $\sum_{k=1}^\infty\frac{x^k}{k(k+1)}$
92665
Find a function for the infinite sum $\sum_{n=0}^\infty \frac{n}{n+1}x^n$
148883
Sum of the series $\frac{1}{2\cdot 4}+\frac{1\cdot3}{2\cdot4\cdot6}+\dots$
140203
Find the value of $\int_{-\infty}^{\infty} \frac{e^{-x^2}}{1+x^2} dx$ .
91784
Calculating $\sum_{n=1}^\infty {\frac{1}{2^nn(3n-1)}}$
90398
How to show $\lim_{x \to 1} \frac{x + x^2 + \dots + x^n - n}{x - 1} = \frac{n(n + 1)}{2}$?
138172
Find the sum to n terms of the series $\frac{1}{1.2.3}+\frac{3}{2.3.4}+\frac{5}{3.4.5}+\frac{7}{4.5.6}+\cdots$..
50606
Find $\sum\limits_{k\, \text{ odd}} \frac{2(k^2-1)}{k^4+k^2+1}$
133160
Closed form for $\int_0^\infty\frac{1}{(1+x^2)^s}\,dx$ when $s\in (0.5,\infty)\setminus\mathbb{N}$
8905
Sum the series $\frac{3}{1⋅2⋅4}+\frac{4}{2⋅3⋅5}+ \frac{5}{3⋅4⋅6}+...\text{(upto n terms)}$
112621
Finding $\int_{0}^{\infty} \frac{e^{3x}-e^x}{x(e^{3x}+1)(e^x+1)} dx$