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lim(x→1) ((1 – x)tan(πx/2)) = ...

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lim(x→1) ((1 – x)tan(πx/2)) = ... 

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Limit = lim (x→1)  ((1 – x)tan(πx/2))

= lim (y→0) ((1 – 1 – y)tan((1 + y)/πr))

= lim(y→0) (– y)tan(π/r + πy/2)

= lim (y→0) (– y) × – cot (πy/2)

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