1.

`lim_(xrarr1)(1-x)tan((pix)/2)` is equal toA. `(pi)/2`B. `2/(pi)`C. `-(pi)/2`D. `-2/(pi)`

Answer» Correct Answer - B
`lim_(xrarr1)(1-x)tan((pix)/2)(0,oo` form)
`=lim_(xrarr1)(1-x)/(cot((pix)/2))(0/0)=lim_(xrarr1)(-1)/(-cosec^(2)((pix)/2)(pi)/2)`
`=2/(pi)lim_(xrarr1)sin^(2)((pix)/2)=2/(pi)`


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