Limits: Numerically

This table is finding a limit as x approaches what value?

What is the limit of f(x) as x approaches 5?

• 5

• 75

• 4.9

• 5.1

• Undefined

What is the limit? Use a table to assist you.

• Does not exist

• Infinity

• 6

• 12

What is the limit? Use a table to assist you.

• Does not exist

• 2/3

• 1/4

• Infinity

Create and use a table to assist you. 

• $\frac{1}{5}$

• 1

• 5

• Does not exist

• Does not exist

• $-\frac{7}{5}$

• $-\frac{5}{9}$

• $-\frac{1}{2}$

Given this table, what limits are most accurate?

• As x approaches 3, the limit is infinity

• As x approaches 3, the limit is negative infinity

• As x approaches 3 from the left, the limit is negative infinity & as x approaches 3 from the right, the limit is positive infinity

• As x approaches 3 from the left, the limit is positive infinity and as x approaches 3 from the right, the limit is negative infinity

 $\lim_{x\rightarrow4}\sqrt{3-x}$  

• Does not exist

•  $\frac{3}{4}$  

•  $1$  

•  $\sqrt{-1}$  

Evaluate the limit

• 10

• -10

• 0

• Does not exist

 $\lim_{x\rightarrow a}\ f\left(x\right)$  

• Must be approached from the left and right side of  $a$  

• Can exist when  $f\left(a\right)$  is undefined.

• Can be  $\infty$  

• Will not exist if  $f\left(a\right)$  is undefined.