Let f(x) be the greatest integer less than or equal to x.

compute the lim x->0 xf(1/x).

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- Dec 4th 2006, 09:18 AMmyoplex11problem involving limit and greatest integer function
Let f(x) be the greatest integer less than or equal to x.

compute the lim x->0 xf(1/x). - Dec 4th 2006, 09:49 AMThePerfectHacker
It seems the function,

Is squeeze between,

.

On some open interval except possibly containg the point.

We have,

for

for

And,

Now just use the squeeze theorem.

(You should graph this function. It is the coolest looking thing).