[r=0],[37.lim_(x rarr1)(1-x)tan(pi x)/(2)=]

lim_(x rarr 1) (1-x) tan((pi x)/2)

lim_(x rarr 1) (x-1) tan((pi x)/2)

lim_(x rarr 1) (1-x) tan (pi/2 x) =

lim_ (x rarr1) (2-x) ^ (tan pi (x) / (2))

lim_(x rarr1)(sin^(-1)x)/(tan(pi(x)/(2)))

lim_(x rarr 0)tan(pi/4+x)^(1/x)=

lim_(x rarr1)(log(1-x))/(cot pi x)

lim_(x rarr0)((1)/(x))^(tan x)=

lim_ (x rarr1) (2-x) ^ (tan ((pi x) / (2)))

The value of (lim)_(x rarr1)(2-x)^(tan((pi x)/(2))) is e^(-(2)/(pi)) (b) e^((1)/(pi))(c)e^((2)/(pi))(d)e^(-(1)/(pi))