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lim(xrarr0) [(sin^(-1)x)/(tan^(-1)x)]= (...

`lim_(xrarr0) [(sin^(-1)x)/(tan^(-1)x)]=` (where `[.]` denotes the greatest integer function)

A

0

B

1

C

`-1`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B

`L=underset(xrarr0)(lim)[(sin^(-1)x)/(tan^(-1)x)]`
`=underset(xrarr0)(lim)[((sin^(-1)x)/(x))/((tan^(-1)x)/(x))]`
`=[(1("but gt 1"))/(1("but lt 1"))]`
`=1`
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