Question 1
Which condition must be true for a function to be continuous at a point $x = a$?
Question 2
If $\lim_{x\to 3} f(x)=5$ and $f(3)=5$, what can you conclude about $f$ at $x = 3$?
Question 3
What does it mean if $\lim_{x\to a^-} f(x)$ and $\lim_{x\to a^+} f(x)$ are not equal?
Question 4
Which statement best describes a removable discontinuity at $x = a$?
Question 5
Suppose $f(a)$ is defined and $\lim_{x\to a} f(x)=f(a)$. What must also be true?
