Limit of a function (STEM12A)

 $\lim_{x\rightarrow2}\frac{\sqrt{x-2}}{4-x^2}$  

• 0

• 2

• -2

• does not exist

 $\lim_{x\rightarrow-2}\ \frac{𝑥^3-14𝑥^2+13x+6}{3𝑥^2+7x+2}$  

• 7

• 10

• imaginary

• does not exist

 $\lim_{x\rightarrow5}\ \frac{x-5}{\sqrt{x-5}}$  

• 0

• 1

• 5

• does not exist

 $\lim_{x\rightarrow\infty}\ \frac{6x^5-5x+30}{50-2x^5}$  

• -3

• 2

• 6

• does not exist

 $\lim_{x\rightarrow\infty}\ \frac{6x^3-5xx^2+10}{10x+20x^3-2x^5}$  

• 0

• 2

• 4

• does not exist

At what values it will become doscontinous $f\left(x\right)=\frac{\sqrt{x^2+7x+6}}{2x^2+x-3}$  

• {-1,-6}

• {3/2, -1}

• {-3/2, -1}

• {1,6}

There are 5 steps in determining the continuity of a function.

• TRUE

• FALSE

In ordert a function is said to be continous, the use definition of limits and evaluation is necessary to check the values on a certain number.

• TRUE

• FALSE

 $\lim_{x\rightarrow2}\ \ \ \left(\ x^2-3x\ +1\ \right)$  

• -10

• 2

• -1

• does not exist

 $f\left(x\right)=2x^2+3x-1$  

Determine if f(x) is continous at x = 1

• Yes, it is continuous at x = 1

• No, it is discontinuous at x = 1

• does not exist