## anonymous 3 years ago Show, using limits, that f(x)=x^2 -x +3, is continuous at x=2

1. Callisto

Check if the left hand limit = right hand limit. If it is, then limit exists. Existence of limit at point a implies the function is continuous at point a.

2. Callisto

Check if$\lim_{x\rightarrow 2^+}f(x)=\lim_{x\rightarrow 2^-}f(x)$

3. anonymous

$f(x)=\sin \frac{ 1 }{ x-1 }$Use limits to determine if is continuous at x =1