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Solve lim(xrarr0^+)[sinx/x] (where [.] ...

Solve
`lim_(xrarr0^+)[sinx/x]`
(where [.] denotes greatest integer function.)

Text Solution

Verified by Experts

Put `sinx/x=timpliestrarr1^-` as `xrarr0^+
`therefore [t]=0`{i.e., as `xrarr0+h implies trarr 1-h}`
`therefore lim_(trarr1^-)[t]implies[1-h]=0`
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PATHFINDER-LIMIT, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
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  4. Solve lim(xrarr0^-)[sinx/x] (where [.] denotes greatest integer funct...

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