1.4 Finding Limits from Tables

 $\lim_{x\rightarrow-4}f\left(x\right)=$  
If the limit does not exist, write "DNE."

 $\lim_{x\rightarrow6}f\left(x\right)=$  
If the limit does not exist, write "DNE."

Create your own table of values to evaluate the limit.
Given  $f\left(x\right)=\frac{x^2-5x-14}{x-7},$  find  $\lim_{x\rightarrow7}f\left(x\right).$  

If the limit does not exist, write "DNE."

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Create your own table of values to evaluate the limit.
Given  $f\left(x\right)=\frac{6x^3-7x^2-14x+15}{x-1},$  find  $\lim_{x\rightarrow1}f\left(x\right).$  If the limit does not exist, write "DNE."

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

The function  $f$  is continuous and increasing for  $x\ge-8.$  The table gives values of  $f$  at selected values of  $x.$  

Approximate the value of  $\lim_{x\rightarrow-6}\sec\left(f\left(x\right)\right).$  Round or truncate your answer to three decimal places. If the limit does not exist, write "DNE."

The function  $f$  is continuous and increasing for  $x\ge-5.$  The table gives values of  $f$  at selected values of  $x.$  

Approximate the value of  $\lim_{x\rightarrow-2}\ ^4\sqrt{f\left(x\right)}$  Round or truncate your answer to three decimal places. If the limit does not exist, write "DNE."

The table above gives values of a function  $f$  at selected values of  $x.$  Which of the following conclusions is supported by the data in the table?

•  $\lim_{x\rightarrow3}f\left(x\right)=0$  

•  $\lim_{x\rightarrow3}f\left(x\right)=3$  

•  $\lim_{x\rightarrow3}f\left(x\right)\ =10$  

•  $\lim_{x\rightarrow3}f\left(x\right)$  does not exist

The table above gives values of a function $f$ at selected values of $x.$ Which of the following conclusions is supported by the data in the table?

• $\lim_{x\rightarrow2}f\left(x\right)=-1$

• $\lim_{x\rightarrow2}f\left(x\right)=6$

• $\lim_{x\rightarrow2^-}f\left(x\right)\ =-1$ and $\lim_{x\rightarrow2^+}f\left(x\right)=6$

• $\lim_{x\rightarrow2^-}f\left(x\right)=6$ and $\lim_{x\rightarrow2^+}f\left(x\right)=-1$

The table above gives values of a function $f$ at selected values of $x.$ Which of the following conclusions is supported by the data in the table?

• $\lim_{x\rightarrow11}f\left(x\right)=32$

• $\lim_{x\rightarrow11}f\left(x\right)=\infty$

• $\lim_{x\rightarrow32}f\left(x\right)\ =11$

• $\lim_{x\rightarrow32}f\left(x\right)=\infty$

The table above gives values of a function $f$ at selected values of $x.$ Which of the following conclusions is supported by the data in the table?

• $\lim_{x\rightarrow4}f\left(x\right)=6$

• $\lim_{x\rightarrow4}f\left(x\right)=7$

• $\lim_{x\rightarrow4^-}f\left(x\right)\ =6$ and $\lim_{x\rightarrow4^+}f\left(x\right)=7$

• $\lim_{x\rightarrow4^-}f\left(x\right)=7$ and $\lim_{x\rightarrow4^+}f\left(x\right)=6$