Limit of Derivative and Continuity
1371
Prove that $f'(a)=\lim_{x\rightarrow a}f'(x)$.
117613
Interchange of partial derivative and limit
76249
Does the limit of function of two variables exist
17223
Continuity of an inverse function.
113888
Behavior of derivative near the zero of a function.
97553
Continuity of $\frac{2xy}{x^2+y^2}$ at $(0,0)$
125615
Defining the derivative without limits
89180
limit of reciprocal of function
135999
One sided limit of an increasing function defined on an open interval
11167
A counterexample of a differentiable function on an interval whose derivative is discontinuous
22989
A doubt on the definition of limit of a function definition
60556
Uniform convergence, Bounded derivative.
80643
Show that f(x) defined on [0,infinity) R to is continuous at 0.
106060
If $f$ is continuous and with a limit at infinity then $f$ is uniformly continuous
33486
Negation of the Definition of Limit of a Function
34940
Continuity of $f(x) = x^n$
154572
Continuity of a function at an isolated point