GRE Math · Free quick check

Find your next study step.

5 original questions, worked explanations, and one next action. Allow about 10 minutes. No account needed. This small sample covers 5 topic areas; it does not cover the whole exam.

Question 1 of 5

For $x\ne3$ , let $f(x)=(x^2-9)/(x-3)$ . What is $\lim_{x\to3} f(x)$ ?

036The limit does not exist.

How sure are you?

GuessingUnsureConfident

These questions come from Keiko's public worked examples. Sources and correction links are available on each example. How we check content.

Find your next study step.

For x≠3x\ne3x=3, let f(x)=(x2−9)/(x−3)f(x)=(x^2-9)/(x-3)f(x)=(x2−9)/(x−3). What is lim⁡x→3f(x)\lim_{x\to3} f(x)limx→3​f(x)?

For $x\ne3$ , let $f(x)=(x^2-9)/(x-3)$ . What is $\lim_{x\to3} f(x)$ ?