Some Continuity Question
45885
If there exist sequence such that $g(x_n)=f(x_{n+1})$, then we have $g(x_0)=f(x_0)$ for some $x_0$
12107
How is the epsilon-delta definition of continuity equivalent to the following statement?
88240
Two functions discontinuous, but sum continuous
100187
Show function is continuous at origin
76965
The epsilon-delta definition of continuity
77621
Continuity of function mapping connected set to connected set
125754
Proving or disproving a statement about continuity and limits
46642
Continuity of $\sin(x)/x$
44574
Continuity of absolute value of a function
70617
Continuity at a point of characteristic function iff the point is not boundary point
149354
Proof of continuity $f(x+y) = f(x) + f(y)$
100399
A doubt with a part of a certain proof.
69378
The derivative of $x!$ and its continuity
142459
Continuity of a Function in Terms of Closure and Interior
3342
Why formulate continuity in terms of pre-images instead of image?
118048
Can a function with just one point in its domain be continuous?
145368
How to show $f:Y\to X^{+}$ is continuous?