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The value of lim(x rarr 1)(2-x)^(tan((pi...

The value of `lim_(x rarr 1)(2-x)^(tan((pix)/2))` is (a) `e^(-2/pi)` (b) `e^(1/pi)` (c) `e^(2/pi)` (d) `e^(-1/pi)`

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