How to rewrite $\frac{\sqrt{x}-x^2}{1-\sqrt{x}}$ so as not to get $0$ in the denominator as $x\to 1$?
95508
Evaluate $\lim\limits_{x\to 1}\frac{\sqrt x-x^2 }{1-\sqrt x}$
14968
How $\frac{1}{n}\sum_{i=1}^n X_i^2 - \bar X^2 = \frac{\sum_{i=1}^n (X_i - \bar X)^2}{n}$
27969
Why does $\frac{1}{x} < 4$ have two answers?
90431
Compute $\lim_{x\to 0} \frac{e^{-1/x^2}}{x}$ without using L'Hopital?
116014
Write $\frac {1}{1+z^2}$ as a power series centered at $z_0=1$
64941
Why is $1 - \frac{1}{1 - \frac{1}{1 - \ldots}}$ not real?
36083
If $k > 1$, then $\frac1{(k - 1)^2}-\frac1{(k + 1)^2}=\frac{4k}{(k^2 - 1)^2}$, hence simplify $\sum\limits_{k = 2}^n\frac k{(k^2 - 1)^2}$
135565
Limit of $\frac{1}{x^2}-\frac{1}{\sin^2(x)}$ as $x$ approaches $0$
41204
Why do I get one extra wrong solution when solving $2-x=-\sqrt{x}$?
143236
$ S_{n}=\frac{x}{x+1}+\frac{x^2}{(x+1)(x^2+1)}+...........+\frac{x^{2^{n}}}{(x+1)(x^2+1)...(x^{2^{n}}+1)}$
71611
Evaluating $\int\sqrt{\frac{1-x^2}{1+x^2}}\mathrm dx$
114861
equation $\frac{\frac{1}{x^2}-\frac{1}{y^2}}{\frac{1}{x^2}+\frac{1}{y^2}}$
108923
What is wrong with this false proof? $-1=(-1)^1=(-1)^\frac{2}{2}=((-1)^2)^\frac{1}{2}=\sqrt{(-1)^2}=\sqrt{1}=1$
47325
Limit of quotients with square roots: $\lim_{x\to2} \frac{\sqrt{6-x}-2}{\sqrt{3-x}-1}$
146770
Why is $\frac{1}{\frac{1}{0}}$ undefined?
43852
Evaluate $\lim_{x\to 0}\frac{e^{(x+1)^{1/x}}-(x+1)^{e/x}}{x^2}$
88782
Finding the limit of $x_1=0 , x_{n+1}=\frac{1}{1+x_n}$