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Evaluate: ("lim")(xvec0) (sin[cosx])/(1+...

Evaluate: `("lim")_(xvec0)` `(sin[cosx])/(1+[cosx])([dot]` 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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