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" The value of "lim(x rarr1)(2-x)^(tan((...

" The value of "lim_(x rarr1)(2-x)^(tan((pi x)/(2)))" is "

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

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

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

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

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