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lim(xrarr0)(sinmxcotx/sqrt(3))=2, then m...

`lim_(xrarr0)(sinmxcotx/sqrt(3))=2`, then m=…………….

Text Solution

Verified by Experts

Given, `lim_(xto0)(sinmxcotx/sqrt(3))=2`
`rArr lim_(xto0)(sinmx)/(mx).mx.1/(tanx/sqrt(3))=2`
`rArr lim_(xto0)(sinmx)/(mx).mx.(x/sqrt(3))/(tanx/sqrt(3)). lim_(xto0)(mx)/(x/sqrt(3))=2`
`rArr sqrt(3x)=2`
`therefore m=(2sqrt(3))/(3)`
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