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Home / 07 Limits of Functions / 03 Limits

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

f(x)=2\operatorname{{floor}}\left(\sin\left(\left|2\pi x\right|\right)\right)+1; {color:black,secret:true,lineWidth:3}\
  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. \(\displaystyle\lim_{x\rightarrow 1^-}f(x)=-1\)
  2. What is \(\displaystyle\lim_{x\rightarrow 1^+}f(x)=1\)
  3. What is \(\displaystyle\lim_{x\rightarrow 1}f(x)\) Does not exist