Calculus is a branch of Mathematics that studies ______________ .

Evaluate

$$\lim_{x\rightarrow4}\ \frac{x^2\ +\ 16}{x\ -\ 4}$$  

Evaluate

$$\lim_{x\rightarrow4}\ \frac{x^2\ -\ 16}{x\ -\ 4}$$ .

Find the limit as x approaches 1.

Compare $$f\left(-2\right)\ and\ \lim\ as\ x\rightarrow-2$$

What is the limit of the function f(x) as it approaches to 1 given the table of values?

Find the limit.

Determine $$\lim_{x\rightarrow-5}\ \frac{x+5}{x^2+7x+10}$$  

Determine $$\lim_{x\rightarrow\ 1}\ln\left(x^2+x-1\right)$$  

Determine $$\lim_{x\rightarrow\ \frac{\pi}{3}}\left(-\cos x\right)$$  

What is $$\lim_{x\rightarrow90\degree}\frac{4\sin x-3\cos x}{2\sin\ x}$$  

$$\lim_{x\rightarrow5}\ 3x^3\ +\ 2\ =\ \lim_{x\rightarrow5}\ 3x^3\ +\ \lim_{x\rightarrow5}\ 2$$  
Which of the following theorems justify the given equation?

Which of the following illustrates limit of a constant and a function?

What is $$\lim_{x\rightarrow0}\frac{1}{x}$$  ?

What is $$\lim_{x\rightarrow\infty}\frac{1}{x}$$  ?

$$\lim_{x\rightarrow\infty}\ \frac{2x^3}{x^3}=\ ...$$  

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

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