Two-sided limits from graphs

The Two-sided limits from graphs skill falls under the Differential Calculus Math Mission.

Problems
In this exercise, you have a graph(f(x)) and you need to figure out the limit as x approaches a number on that graph from both sides(the positive and negative directions). But sometimes, that limit may not exist too!

Strategies
It is easy but tricky to get the Light Speed badges in this skill. You can answer a problem in less than 5 seconds in this skill(you just have to look at the limit and what number it approaches on the graph in both directions). But mistakes can happen!

Related exercises
The exercise: One-sided limits from graphs is in the same section as this exercise

What Khan Academy says
In this tutorial, we will build our ability to visualize limits by estimating them based on graphs of functions. We will look at both one-sided and two-sided limits.