query: Does $\lim_{x \to 0} \sqrt{x}$ as not exist or equal $0$?
positive_passages.docid: 75571
positive_passages.text: Limit of $\sqrt x$ as $x$ approaches $0$
negative_passages.docid: 76249
negative_passages.text: Does the limit of function of two variables exist
negative_passages.docid: 156736
negative_passages.text: Prove that $\lim _{x \to \infty} x\sin x$ doesn't exist (using delta epsilon).
negative_passages.docid: 136024
negative_passages.text: Show that the limit does not exist $\lim_{(x, y) \to (0,0)}\frac{5x^2}{x^2 + y^2}$
negative_passages.docid: 121085
negative_passages.text: Showing that $\lim\limits_{x \rightarrow 0} \frac{1}{x}$ does not exist.
negative_passages.docid: 65015
negative_passages.text: Computing $\lim_{n \to \infty} \sqrt[n]{ \int_{0}^{1} (1+x^n)^n dx}$
negative_passages.docid: 10428
negative_passages.text: Proving that $\lim\limits_{x\to\infty}f'(x) = 0$ when $\lim\limits_{x\to\infty}f(x)$ and $\lim\limits_{x\to\infty}f'(x)$ exist
negative_passages.docid: 80440
negative_passages.text: Limit of $(x_n)$ with $0<x_1<1$ and $x_{n + 1} = x_n - x_n^{n + 1}$
negative_passages.docid: 69309
negative_passages.text: How do I simplify and evaluate the limit of $(\sqrt x - 1)/(\sqrt[3] x - 1)$ as $x\to 1$?
negative_passages.docid: 133405
negative_passages.text: $\lim_{x \rightarrow 0} f'(x) = L$ exists, does it follow that $f'(0)$ exists?
negative_passages.docid: 86458
negative_passages.text: Choosing $2$ paths through $(0,0)$ to show: $ \lim_{(x,y) \to (0,0)}\frac{xy^2}{x^2 + y^4}$ does not exist
negative_passages.docid: 62606
negative_passages.text: Non-existence of $\lim \limits_{(x, y) \to (0,0)} \frac{x^3 + y^3}{x - y} $
negative_passages.docid: 136738
negative_passages.text: Does the limit $\lim _{x\to 0} \frac 1x \int_0^x \left|\cos \frac 1t \right| dt$ exists?
negative_passages.docid: 9781
negative_passages.text: How to prove that $\lim_{n \to \infty} n x^{n} = 0 $ when $0<x<1$?
negative_passages.docid: 115028
negative_passages.text: If $e=\lim\limits_{x\to \infty} (1+x^{-1})^x$, why doesn't $e=1$?
negative_passages.docid: 1444
negative_passages.text: Prove/Show that Limit is equal to 0.
negative_passages.docid: 133496
negative_passages.text: is $\sqrt{x}$ always positive?