Limit of a function at a point (picture included)

maplesyrup23 · Feb 22, 2011

I'm trying to find the limit of this function at 0.

I know that for the abs (x) graph, 0 is not differentiable because of abs (h)/h, but I'm not certain about the point on this function.

There is no function given, only the picture.

Thanks in advance!

lanedance · Feb 22, 2011

SammyS · Feb 23, 2011

maplesyrup23 said:

I'm trying to find the limit of this function at 0.

I know that for the abs (x) graph, 0 is not differentiable because of abs (h)/h, but I'm not certain about the point on this function.

There is no function given, only the picture.

Thanks in advance!

It's true that |x| is not differentiable at x = 0. However, lim_x→0 |x| exists, and is equal to 0.

Limit of a function at a point (picture included)

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Limit of a function at a point (picture included)

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