Question on continuity and intermediate value theorem
139420
How do I use the Intermediate Value Theorem in this question?
81223
Real Analysis Question: continuity of $f(x) = \sum_{q_n<x} 1/n^2$
60521
Continuity of a convex function
150554
proof that $f'$ is continuous at $a$
91482
Is there a short proof for the Intermediate Value Theorem
126842
Fixed point in a continuous function
106799
Proof Verification: Converse of Intermediate Value Theorem
72847
Does $f(x)$ is continuous and $f = 0$ a.e. imply $f=0$ everywhere?
143174
property of continuous function
105084
Let f be a function twice differentiable and with derivatives continuous on an interval $[a,b]$ containing $0$. Prove the following statement:
30629
mean value theorem question
129551
Does $\lim_{h\rightarrow 0}\ [f(x+h)-f(x-h)]=0$ imply that $f$ is continuous?
34940
Continuity of $f(x) = x^n$
100740
proof of that a continuous function has a fixed point
62334
Continuity and Joint Continuity
11017
Does existence of partial derivatives implies continuity at a point $(x_0,y_0)$?
21954
A question about $f(x)\equiv 0$