Limits in maple

I told maple to evaluate "limit (cos(1/x) , x =0, right)" and got the result -1..1  Does this mean that the limit evaluates to the interval [-1,1]?  If so, I am not sure that is what I wanted because the limit must be defined about a point.  If maple is calling an auxillary routine to let me know, hey there is no limit, but at least it is bounded by [-1,1], then I guess that is fine, except it would be nice to know that.  Or am I just missing something all together?

acer's picture

help-page

Have you read the Maple help-page for limit and limit,return ?

acer

limit does not exist

1/x is undefined when x->0. So the limit could lie anywhere between 1 and -1 since cosine is bounded by those values. Thats what Maple is trying to tell you.

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