anonymous
  • anonymous
If f(2)=4, can you conclude anything about the limit of f(x) as x approaches 2? Explain your reasoning.
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Let's consider an example: \[f(x)=\begin{cases}4&\text{for }x\le2\\ 1&\text{for }x>2\end{cases}\] |dw:1378856858163:dw| Can you say anything about the limit?
anonymous
  • anonymous
i can say that it does not have a limit due to the jump. Not sure if thats correct.
anonymous
  • anonymous
Right, the limit doesn't exist, even though the function is defined at \(x=2\). So just because the function is defined at a given point doesn't mean the (two-sided) limit exists.

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anonymous
  • anonymous
thanks so much :)
anonymous
  • anonymous
You're welcome

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