What is the maximum value of $\frac{x^2+x+1}{x^2-x+1}$
9966
Range of a Rational Function
47452
Calculus Question: $\int_0^1\frac{(x-x^2)^4}{1+x^2}dx$
37158
upper limit of $\cos (x^2)-\cos (x+1)^2$ is $2$
54078
The minimum value of $\frac{(x+\frac{1}{x})^6-(x^6+\frac{1}{x^6})-2}{(x+\frac{1}{x})^3+x^3+\frac{1}{x^3}}$
76441
Max. and Min. value of $|z|$ in $\left|z+\frac{2}{z}\right| = 2\,$
56671
Find the limit $ \lim_{x \to \infty} \frac{e^{x}}{(1+\frac{1}{x})^{x^{2}}} $
17713
What's the value of $\sum\limits_{k=1}^{\infty}\frac{k^2}{k!}$?
137027
Find the value of $\sum_{n=0}^\infty\frac{1}{9n^2+9n+2}$
98838
How to evaluate $\int_0^1 \frac{\ln(x+1)}{x^2+1} dx$
17069
Limit $\lim_{x\to \infty} \frac{\sqrt{x+1}+\sqrt{x+2}-\sqrt{4x+12}}{\sqrt{x+2}+\sqrt{x}-\sqrt{4x+12}}$
91496
If $x_1,x_2,\ldots,x_n$ are the roots for $1+x+x^2+\ldots+x^n=0$, find the value of $\frac{1}{x_1-1}+\frac{1}{x_2-1}+\ldots+\frac{1}{x_n-1}$
85535
Finding maximum of $|f'(i)|$
33105
Find the value of $a^2-b^2+c^2$
137963
Limit of $\frac{xy-z^2}{x^2+y^2+z^2}$ and $\frac{xy}{x^2+y^2}$ as $(x,y) \to (0,0)$
100401
Evaluate $\int \frac{1}{(x^2+1)^2}dx$
5332
Find the value of $\sum_0^n \binom{n}{k} (-1)^k \frac{1}{k+1}$
61487
Limit of $\frac1n\sqrt[n]{(n+1)(n+2)(n+3)...(n+n)}$