Class XI Chapter 13 – Limits and Derivatives Maths ______________________________________________________________________________ 2 2 x lim f x lim 1 1 1 1 1 2 x1 x1 It is observed that x 1 x1 lim f x Hence, lim f x does not exist. x1 lim f x . Question 25: x 0 Evaluate lim f x , where f(x) = Solution 25: The given function is f(x) = lim x , x 0 x 0, x 0 f x x0 x0 x lim x = lim x x 0 x lim 1 = x0 = -1 x lim f x lim x0 x0 x = lim x x 0 x = lim1 x0 = 1 It is observed that lim f x Hence, lim f x x 0 x0 does not exist. x0 x , x 0 x 0, x 0 [When x is negative, x = -x] lim f x . [When x is positive, x = x] Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

Class XI Chapter 13 – Limits and Derivatives Maths ______________________________________________________________________________ Question 26: x 0 Find lim f x , when f(x) = Solution 26: The given function is x , x 0 f(x) = x 0, x 0 lim f x x lim x x0 x0 lim f x = lim x 0 xx lim 1 = = -1 x0 x0 x0 x lim x = lim x x 0 x lim 1 = = 1 x0 x , x 0 x 0, x 0 It is observed that lim f x lim f x Hence, x 0 lim f x x0 x0 does not exist. . [When x < 0, x = -x] [When x > 0, x = x] Question 27: Find lim f x x 5 Solution 27: , where f(x) = x - 5 The given function is f(x) = x - 5 x lim f x lim 5 x5 x5 Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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