Calculus

1. Provide an example of a function f that is continuous at a = 2 but not differentiable at a = 2.

2. Provide an example of a function g that is differentiable at a = 3 but does not have a limit at a = 3.


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asked by Andy
  1. f(x) = |x-2|

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    posted by Damon
  2. for the 2nd part, if a function is differentiable, it is continuous. Hence it has a limit at every point.

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    posted by Steve

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