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If f(x)=tanxx-π, then limx→πf(x) = ______. - Mathematics

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प्रश्न

If `f(x) = tanx/(x - pi)`, then `lim_(x -> pi) f(x)` = ______.

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उत्तर

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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अध्याय 13: Limits and Derivatives - Exercise [पृष्ठ २४५]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 13 Limits and Derivatives
Exercise | Q 77 | पृष्ठ २४५

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