Class XI Chapter 13 – Limits and Derivatives Maths ______________________________________________________________________________ Question 5: Evaluate the Given limit: Solution 5: x lim x1 10 5 x lim x1 10 5 x 1 x1 10 5 x 1 1 1 1 **11**1 1 x1 **11** 2 2 Question 6: Evaluate the Given limit: lim Solution 6: x1 5 1 lim x 0 x x 0 x 5 1 1 x Put x + 1 = y so that y Ã¢â€ ’ 1 as x Ã¢â€ ’ 0. 5 5 x1 1 y 1 Accordingly, lim = lim x 0 x x1 y 1 5 5 y 1 lim x1 y 1 x a 5.1 lim xa xa 5 n n 51 n1 x 1 1 lim 5 x0 x 5 na Question 7: Evaluate the Given limit: Solution 7: 2 3x x10 lim x2 2 x 4 At x = 2, the value of the given rational function takes the form 0 0 . 2 3x x10 lim = x2 2 x 4 lim x2 x23x5 x2x2 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 ______________________________________________________________________________ 3x 5 lim x2 x 2 32 5 2 2 **11** 4 Question 8: Evaluate the Given limit: Solution 8: x 81 4 lim x3 2 2 x 5 x 3 At x = 2, the value of the given rational function takes the form 0 0 . x3 2 x3x 9 2 33 3 9 2 x 3x 3x 9 4 x 81 lim lim x3 2 2x 5x 3 x3 x 3 2x 1 lim 618 7 108 7 2x 1 2 3 1 Question 9: Evaluate the Given limit: lim ax b x0 cx 1 Solution 9: lim ax b x0 cx 1 = a 0 b b c 0 1 Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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