examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Calculus
# Limits of Functions

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Sign up to access problem solutions.

The graph of \(y = f(x)\) is pictured above. For which values of \(a\) in \(\{0, 1, 2\}\) does \[\lim_{x \to a} f(x)\] exist?

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Sign up to access problem solutions.

by **Brilliant Staff**

Based on the graphs, which limit diverges to \(\infty\) as \(x \to 0?\)

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Sign up to access problem solutions.

by **Brilliant Staff**

\[\lim_{x \to a} \frac{1}{x^2} = \text{ a (finite) number}\]

For which choice of \(a\) is the above statement true?

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Sign up to access problem solutions.

by **Brilliant Staff**

Which option is true of \[A = \lim_{x \to \infty} \sin\left(x\right)?\]

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Sign up to access problem solutions.

by **Brilliant Staff**

\[A = \lim_{x \to 0} \frac{x}{x}, \,\,\,\,\,B = \lim_{x \to 0} \frac{|x|}{x}\]

Which limit(s) exist(s)?

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Sign up to access problem solutions.

by **Brilliant Staff**

×

Problem Loading...

Note Loading...

Set Loading...