\( \def\dfrac#1#2{\displaystyle\frac{#1}{#2}} \def\solve#1{\begin{array}{rcl}#1\end{array} } \)

Home / 07 Limits of Functions / 02 Limits

Use the graph of \(f(x)\) below to answer the following questions

f(x) = \frac{(x-1)}{(x-1)(x^2+3)}; {color:black,secret:true,lineWidth:3}\ g(x) = \frac{{1}}{(x^2+3)};{hidden:true, secret:true}\ (1,g(1));{pointStyle:Desmos.Styles.OPEN}
  1. What is \(\displaystyle\lim_{x\rightarrow 1^-}f(x)\)?
  2. What is \(\displaystyle\lim_{x\rightarrow 1^+}f(x)\)?
  3. What is \(\displaystyle\lim_{x\rightarrow 1}f(x)\)?
  1. \(\displaystyle\lim_{x\rightarrow 1^-}f(x)=\dfrac{{1}}{{4}}\)
  2. What is \(\displaystyle\lim_{x\rightarrow 1^+}f(x)=\dfrac{{1}}{{4}}\)
  3. What is \(\displaystyle\lim_{x\rightarrow 1}f(x)=\dfrac{{1}}{{4}}\)