anonymous
  • anonymous
Show, using limits, that f(x)=x^2 -x +3, is continuous at x=2
Calculus1
schrodinger
  • schrodinger
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Callisto
  • 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.
Callisto
  • Callisto
Check if\[\lim_{x\rightarrow 2^+}f(x)=\lim_{x\rightarrow 2^-}f(x)\]
anonymous
  • anonymous
\[f(x)=\sin \frac{ 1 }{ x-1 }\]Use limits to determine if is continuous at x =1

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