Limits and Continuity

Find the limit shown

What is the horizontal asymptote of this function?

For what value of x will the following function be discontinuous?

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

Find the limit

Let $$\lim_{x\rightarrow8}f\left(x\right)=3\ and\ \lim_{x\rightarrow8}g\left(x\right)=10.$$  Find  $$\lim_{x\rightarrow8}\frac{f\left(x\right)}{\text{g(x)}}.$$  

$$\lim_{x\rightarrow\infty}\ \frac{x^3-x^2+1}{5-3x-x^4}=...$$  

$$\lim_{x\rightarrow\infty}\ \frac{x+7}{\sqrt{4x^2+3x}}=...$$  

what is $$\lim_{x\rightarrow-2}f\left(x\right)$$

Which of the given functions is NOT continuous for all real numbers?

Palms:

Knees:

Arms:

Vomit:

Mom's:

Determine whether $$f\left(x\right)=\frac{x^2+5x-6}{x-1}$$   is continuous or discontinuous at $$x=1.$$  

$$\lim_{x\rightarrow0}\ \frac{\sin3x}{5x}$$

$$\lim_{x\rightarrow\infty}\ \frac{e^{5x}}{x^5}$$

$$\lim_{x\rightarrow-\infty}\ 2^x$$