Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (c)/Hint 2

In order to determine whether the function $f$ given in the question is continuous at $x=1$, you will need to compare the following quantities:

$\lim _{x\rightarrow 1^{+}}f(x)$

$\lim _{x\rightarrow 1^{-}}f(x)$

$f(1)$ itself, no limits here.

In order for $f$ to be continuous, what must be true about these three quantities, and how must they be related to one another?