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I tried to do the exercise below and I found the one-sided limits as 0, both left and right. But in the book the answer is -1 and 1.

Make the graph of the function. Determine if the function is continuous at $c$. Compute the lateral limits $f_-'(x_1)$ and $f_+'(x_1)$. $f(x)=|x-3|$; $x_1=3$.

  • 0
    you took limits of $f(x)$, not $f'(x)$, that's why.2012-06-16
  • 1
    The graph is [here](http://www.wolframalpha.com/input/?i=plot+%7Cx-3%7C)2012-06-16
  • 0
    Why would you down vote like that guys? Just comment, or upvote the comments that ask for improvement, or improve yourself.2012-06-16

1 Answers 1