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Evaluate lim(xto2^(+)) ([x-2])/(log(x-2)...

Evaluate `lim_(xto2^(+)) ([x-2])/(log(x-2)),` where `[.]` represents the greatest integer function.

Text Solution

Verified by Experts

The correct Answer is:
0
`L=underset(xto2^(+))lim([x-2])/(log(x-2))`
When `xto2^(+),x-2to0^(+)`
or `[x-2]=0`
Also, `log(x-2)tolog0^(+)to-oo`
Thus, `L=("exact "0)/(-oo)=0`
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