Question

Use the given graph to determine the limit, if it exists. Find limit as x approaches three from the left of f of x. Please include an explanation in your answer, I don't really understand limits so I'll give brainliest to the best explanation.

Answer 1

Answer:

$\displaystyle \lim_{x \to 3^-} f(x) = -1$

General Formulas and Concepts:

Calculus

Limits

• Right-Side Limit:                                                                                             $\displaystyle \lim_{x \to c^+} f(x)$
• Left-Side Limit:                                                                                               $\displaystyle \lim_{x \to c^-} f(x)$

Graphical Limits

Step-by-step explanation:

As we approach 3 from the left according to the graph (follow the left graphed line), we see that we approach -1.

∴  $\displaystyle \lim_{x \to 3^-} f(x) = -1$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits