Limit of a function (STEM12A)

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

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

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

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

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

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

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

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.

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

 $f\left(x\right)=2x^2+3x-1$  

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