Quiz 1.4-1.6 Algebraic Prop of Limits

 $\lim_{x\rightarrow1}\ \ f\left(f\left(x\right)\right)$  

(a)  

 $\lim_{x\rightarrow-3^+}\ \ g\left(x\right)$  

• -0.5

• 13

• -1

• Does not exist

 $\lim_{x\rightarrow-3^{ }}\ \ g\left(x\right)$  

• -0.5

• 13

• -1

• Does not exist

 $\lim_{x\rightarrow1}\ \ g\left(x\right)$  

• -11

• 3

• 5.5

• Does not exist

 $\lim_{x\rightarrow\frac{\pi}{2}^-}\ h\left(\theta\right)$  

• -1

• 1

• 0.5

• Does not exist

 $\lim_{x\rightarrow\pi^+}\ h\left(\theta\right)$  

• -1

• 1

• 0.5

• Does not exist

 $\lim_{x\rightarrow-3}\ \left(2x^2+x-5\right)$  

(a)  

 $\lim_{x\rightarrow0}\ \frac{\sin\left(4x\right)}{3x}$  

(a)  

 $\lim_{x\rightarrow1}\ \ 2f\left(x\right)\left(f\left(2x\right)\right)$  

(a)  

 $\lim_{x\rightarrow3}\ \frac{x^2-x-6}{3-x}$  

(a)