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Lim(x rarr1)(2-x)^(tan((pi x)/(2)))=...

Lim_(x rarr1)(2-x)^(tan((pi x)/(2)))=

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

The value of lim_(x rarr a) (2- a/x)^(tan ((pi x)/(2a))) is:

lim_ (x rarr1) (1-x) Tan ((pi x) / (2)) =

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

the value of lim_(x rarr1)((tan(pi x))/(4))^((tan(pi x))/(2))

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