query: If $\lim_{x\to c} f'(x)$ exists, does $f'(c)$ exist?
positive_passages.docid: 154881
positive_passages.text: Question on differentiability of a continuous function
negative_passages.docid: 119602
negative_passages.text: $f:\mathbb{R} \to \mathbb{R}$ be differentiable and $\lim\limits_{x\to\infty}f'(x)=1$, is $f(x)$ unbounded?
negative_passages.docid: 47381
negative_passages.text: If $\lim_{x\to\infty} [f(x+1)-f(x)] =l$ then $\lim_{ x\to\infty}f(x)/x =l$ ($f$ is continuous)
negative_passages.docid: 22598
negative_passages.text: When does the limit $\lim_{(x,y)\to(0,0)} \frac{x^ky^l}{x^{2p}+y^{2q}}$ exist?
negative_passages.docid: 69857
negative_passages.text: Is the set $A=\{x\in E|\lim_{n \to\infty} f_n(x)\ exists\ (finitely)\}$ measurable?
negative_passages.docid: 49781
negative_passages.text: Existence of the absolute value of the limit implies that either $f \ $ or $\bar{f} \ $ is complex-differentiable
negative_passages.docid: 103706
negative_passages.text: If $\{f(0)\}^{2} + \{f'(0)\}^{2} = 4$ then there is a $c$ with $f(c) + f''(c) = 0$
negative_passages.docid: 36358
negative_passages.text: How prove that $\lim\limits_{x\to+\infty}f(x)=\lim\limits_{x\to+\infty}f'(x)=0$ if $\lim\limits_{x\to+\infty}([f'(x)]^2+f^3(x))=0$?
negative_passages.docid: 6620
negative_passages.text: If $\lim\limits_{x\rightarrow\infty} (f'(x)+f(x)) =L<\infty$, does $\lim\limits_{x\rightarrow\infty} f(x) $ exist?
negative_passages.docid: 76249
negative_passages.text: Does the limit of function of two variables exist
negative_passages.docid: 153510
negative_passages.text: Questions about the existence of a function
negative_passages.docid: 123918
negative_passages.text: Real Analysis, Existence of a Limit Boundedly:$|\int_0^b\frac{sin(ax)}{x}dx | \le c$
negative_passages.docid: 45602
negative_passages.text: Show that is $\int_A f$ exists, then so does $\int_A |f|$
negative_passages.docid: 139744
negative_passages.text: For a continuous function $f$ show $\exists c\in (0,1)$ s.t $f(c)=3c^2$
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: 31146
negative_passages.text: Does the limit $\lim_{(x,y)\to (0,0)} \frac {x^3y^2}{x^4+y^6}$ exist
negative_passages.docid: 143874
negative_passages.text: Limit of derivative is zero. Does it imply a limit for f(x)?