Properties of Limits

If  $\lim_{x\rightarrow c}f\left(x\right)=3$ ,  $\lim_{x\rightarrow c}g\left(x\right)=-2$  , and  $\lim_{x\rightarrow c}h\left(x\right)=4$  then find  $\lim_{x\rightarrow c}\sqrt{3h\left(x\right)-2g\left(x\right)}$ . 

• 16

• 4

• 8

• 12

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

If $\lim_{x\rightarrow c}f\left(x\right)=3$ ,  $\lim_{x\rightarrow c}g\left(x\right)=-2$ ,  $\lim_{x\rightarrow c}h\left(x\right)=4$  then find  $\lim_{x\rightarrow c}\left[f\left(x\right)\cdot5g\left(x\right)\right]$  

• -30

• -40

• 60

• -80

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

If $\lim_{x\rightarrow c}f\left(x\right)=3$ ,  $\lim_{x\rightarrow c}g\left(x\right)=-2$ ,  $\lim_{x\rightarrow c}h\left(x\right)=4$  then find  $\lim_{x\rightarrow c}\left[7-g\left(x\right)\right]^2$  

• 81

• 25

• 9

• 45

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

If $\lim_{x\rightarrow c}f\left(x\right)=3$ ,  $\lim_{x\rightarrow c}g\left(x\right)=-2$ ,  $\lim_{x\rightarrow c}h\left(x\right)=4$  then find  $\lim_{x\rightarrow c}\left(\frac{2f\left(x\right)+3h\left(x\right)}{h\left(x\right)-g\left(x\right)}\right)$  

• 3

• 2

• 1

• 0

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

If $\lim_{x\rightarrow c}f\left(x\right)=3$ ,  $\lim_{x\rightarrow c}g\left(x\right)=-2$ ,  $\lim_{x\rightarrow c}h\left(x\right)=4$  then find  $\lim_{x\rightarrow c}\left[h\left(x\right)\cdot\left(f\left(x\right)+6\right)\right]$  

• 36

• 16

• -18

• -20

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

If $\lim_{x\rightarrow c}f\left(x\right)=3$ ,  $\lim_{x\rightarrow c}g\left(x\right)=-2$ ,  $\lim_{x\rightarrow c}h\left(x\right)=4$  then find  $\lim_{x\rightarrow c}\left[\frac{f\left(x\right)^{2\ }}{4-g\left(x\right)}\right]$  

• 3/2 

• 8/3

• 2/3

• 9/2

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Use the graph above to solve: $\lim_{x\rightarrow-1}g\left(f\left(x\right)\right)$  

• -7

• -2

• -6

• DNE

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

Use the graph above to solve: $\lim_{x\rightarrow-3}g\left(f\left(x\right)\right)$  

• -7

• -2

• -6

• DNE

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7