Use the graph to find the limits (if it exists). If the limit does not exist, explain why?
\(lim_{x\rightarrow3}{1\over x-3}\)

If f(2) = 4, can you conclude anything about the limit of f(x) as x approaches 2?

Compute\(lim_{x\rightarrow-2}(-{3\over 2}x)\)

Compute \(lim_{x\rightarrow1}{\sqrt{x}-1\over x-1}\) .

Evaluate the following limits :
\(lim_{x\rightarrow1}{x^m-1\over x^n-1}\) ,m and n are integers.

Evaluate the following limits :
\(lim_{x\rightarrow0}{\sqrt{1+x}-1\over x}\)

Determine if f defined by \(f(x)=\left\{\begin{array}{ll} x^{2} \sin \frac{1}{x}, & \text { if } x \neq 0 \\ 0, & \text { if } x=0 \end{array} \text { is continuous in } \mathbb{R}\right.\)

Prove that f(x) = 2x² + 3x - 5 is continuous at all points in R.

State how continuity is destroyed at x = x _o for each of the following graphs.

State how continuity is destroyed at x= x _o for each of the following graphs.