Limit of a Function

Determine $\lim_{x\rightarrow-2}\left(x-2\right)$  using table of values.

• -5

• -4

• -3

• -2

• -1

• 0

• 1

• Does not exist

Compare $f\left(-2\right)\ and\ \lim it\ as\ x\rightarrow-2$ 

•  $f\left(-2\right)=0=\lim_{x\rightarrow-2}f\left(x\right)$  
  

•  $f\left(-2\right)=0\ne\lim_{x\rightarrow-2}f\left(x\right)$  

•  $f\left(-2\right)=-1=\lim_{x\rightarrow-2}f\left(x\right)$  
  

•  $f\left(-2\right)=-1\ne\lim_{x\rightarrow-2}f\left(x\right)$  
  

Determine $\lim_{x\rightarrow4}\left(x^2-5x-6\right)$  using limit theorems.

• -10

• -5

• 5

• 10

Determine $\lim_{x\rightarrow4}\left(\frac{x^2-5x-6}{x-6}\right)$  using limit theorems.

• -10

• -5

• 5

• 10

Determine $\lim_{x\rightarrow4}\left(\sqrt{x-3}\right)$  using limit theorems.

• -1

• 0

• 1

•  $\pm1$  
  

Determine $\lim_{x\rightarrow2}\ \frac{3}{x^2-4}$  using table of values.

•  $-\infty$  
  

• 0

•  $\infty$  
  

• Does not exist

Determine $\lim_{x\rightarrow\ -1}\left(3^{x+1}\right)$  using table of values.

• -1

• 0

• 1

• Does not exist

Determine $\lim_{x\rightarrow\ 1}\ln\left(x^2+x-1\right)$  using table of values.

• -1

• 0

• 1

• Does not exist

Determine $\lim_{x\rightarrow\ \frac{\pi}{3}}\left(-\cos x\right)$  using table of values.

• -1/2

• 0

• 1/2

• 1