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Question
If `f(x) = tanx/(x - pi)`, then `lim_(x -> pi) f(x)` = ______.
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Solution
If `f(x) = tanx/(x - pi)`, then `lim_(x -> pi) f(x)` = 1.
Explanation:
Given `f(x) = lim_(x -> pi) (-tan(pi - x))/(x - pi)`
= `lim_(pi - x -> 0) (-tan(pi - x))/(-(pi - x))`
= 1
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