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Evaluate lim(xto0) (tan2x-x)/(3x-sinx)....

Evaluate `lim_(xto0) (tan2x-x)/(3x-sinx).`

Text Solution

Verified by Experts

The correct Answer is:
`1//2`
`underset(xto0)lim(tan2x-x)/(3x-sinx)=underset(xto0)lim{((2tan2x)/(2x)-1)/(3-(sinx)/(x))}=1/2`
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