### Home > CALC > Chapter 2 > Lesson 2.2.3 > Problem 2-87

2-87.

For each description below, write a limit equation and sketch a possible function. Homework Help ✎

As

*x*→ 0,*y*→ 9.As

*x*gets closer to 3 on both sides,*f*(*x*) becomes increasingly large.Which of the limits from parts (a) and (b) exist? Explain your reasoning.

Remember, a limit can exist at a hole.

Infinitely large can be notated with the ∞ symbol.

Limits exist if the limit from the left agrees with the limit from the right AND that value is finite.