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Evaluate lim(xto0) (sin[cosx])/(1+[cosx]...

Evaluate `lim_(xto0) (sin[cosx])/(1+[cosx])` (`[.]` denotes the greatest integer function).

Text Solution

Verified by Experts

The correct Answer is:
0
When `xto0^(+)" or "0^(-),cosxto1^(-)`
or `" "[cosx]=0" for "xto0`
`:." "underset(xto0)lim(sin[cosx])/(1+[cosx])=(sin0)/(1+0)=0`
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