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Exercise Solutions 13.1class 11 Maths NCERT Solutions Chapter 13 Limit and Derivatives

Class 11 Maths NCERT Solutions Chapter 13 Limit and Derivatives is developed and witten by our expert teachers. Students can study our solutions of Chapter 13 Limit and Derivatives class 11 Maths, Example 1 : Limit x tends to 3 (x^3 - 27)/(x- 3) and Limit x tends to -2(x^3 + 8)/(x^2- 4), Example 2 : lim x tends to 2 (x^2 + 3x - 10)/(x^2 + 5x - 14) , Example 3 :limit x tends to -3 (x^4 - 81)/ (x^2 - 9) and limit x tends to -3 (x^4 - 81)/ (x + 3) , Example 4 : limit x tends to 3 (x^5 - 243)/( x-3) , - 2 (x^7 + 128)/(x+ 2) use of formula (x^n - a^n) /( x - a) , Example 5 : limit x tends to -3 (x^4 - 81) /(x^5 + 243) , Exercises Solutions 1-12 1 - 7 Evaluate the following limits in lim x tends to 0 {(x + 1)^5 -1} /x, 8-10 Ncert solution of chapter 13 question 8 to 10, 11-12 limit x → - 2 (1/x + 1/ 2)/(x+ 2) evaluate the limit , Important Question of limits for home work , Home work answer check ncert solution for class 11 chapter 13 limits with solution , Explanation of Home work Questions: limit x → -3 (x^2 - x- 12) / (x^2 - 9), x → -2 (x^8 - 256) / (x+ 2), x → 2 (x^5 - 32) /( x^7 - 128), Explanation of Home work Questions:limits and derivatives class 11 limit x tends to - 3 (x ^2 - 9) / (x + 3) , Exercise Question 13- 14 Introduction to limit for trigonometric Functions, Example 6 : limit x - zero {sin^2 ax / (tan bx tan cx)} limits of trigonometric functions , Example 7 : limits of trignometric functions limit x tends to 0 (1 - cos ^4 x) / x^2, Example 8 :

NCERT Solutions Class 11 Maths
Chapter 13 Limit and Derivatives
Exercise 13.1 Answers

=Example 1 : Limit x tends to 3 (x^3 - 27)/(x- 3) and Limit x tends to -2(x^3 + 8)/(x^2- 4)

Example 1 : Limit x tends to 3 (x^3 -

=Example 2 : lim x tends to 2 (x^2 + 3x - 10)/(x^2 + 5x - 14)

Example 2 : lim x tends to 2 (x^2 + 3x

=Example 3 :limit x tends to -3 (x^4 - 81)/ (x^2 - 9) and limit x tends to -3 (x^4 - 81)/ (x + 3)

Example 3 :limit x tends to -3 (x^4 -

=Example 4 : limit x tends to 3 (x^5 - 243)/( x-3) , - 2 (x^7 + 128)/(x+ 2) use of formula (x^n - a^n) /( x - a)

Example 4 : limit x tends to 3 (x^5 -

=Example 5 : limit x tends to -3 (x^4 - 81) /(x^5 + 243)

Example 5 : limit x tends to -3 (x^4 -

=

Exercises Solutions 1-12
1 - 7 Evaluate the following limits in lim x tends to 0 {(x + 1)^5 -1} /x

Exercises Solutions 1-12 1 - 7 Evaluate

=8-10 Ncert solution of chapter 13 question 8 to 10

8-10 Ncert solution of chapter 13

=11-12 limit x → - 2 (1/x + 1/ 2)/(x+ 2) evaluate the limit

11-12 limit x → - 2 (1/x + 1/ 2)/(x+

=

Important Question of limits for home work

Important Question of limits for home

=Home work answer check ncert solution for class 11 chapter 13 limits with solution

Home work answer check ncert solution

=Explanation of Home work Questions:
limit x → -3 (x^2 - x- 12) / (x^2 - 9), x → -2 (x^8 - 256) / (x+ 2), x → 2 (x^5 - 32) /( x^7 - 128)

Explanation of Home work Questions:

=Explanation of Home work Questions:
limits and derivatives class 11 limit x tends to - 3 (x ^2 - 9) / (x + 3)

Explanation of Home work

=

Exercise Question 13- 14
Introduction to limit for trigonometric Functions

Exercise Question 13- 14  Introduction

=Example 6 : limit x - zero {sin^2 ax / (tan bx tan cx)} limits of trigonometric functions

Example 6 : limit x - zero {sin^2 ax /

=Example 7 : limits of trignometric functions limit x tends to 0 (1 - cos ^4 x) / x^2

Example 7 : limits of trignometric

=Example 8 : Evaluate limit x tends to 0 (1 - cos 3x) /sin 2x sin 3x

Example 8 : Evaluate limit x tends to 0

=Example 9 : Evaluate limit x tends to 0 (1 - cos mx)/(1- cos nx)

Example 9 : Evaluate limit x tends to 0

=Example 10 : Evaluate limit x tends to pi tanx /(x - pi)

Example 10 : Evaluate limit x tends to

=Example 11 :limits and derivatives class 11 ncert solution Evaluate limit x tends to pi sin x / x - pi

Example 11 :limits and derivatives

=Example 12 :limit x tends to pi/2 (2x - pi)/cosx

Example 12 :limit x tends to pi/2 (2x -

=Example 13 :limit x tends to pi/2 (1 + cos 2x)/(pi - 2x)^2

Example 13 :limit x tends to pi/2 (1 +

=

Exercise Question 15 - 17
limit x → pi sin (pi - x)/ pi (pi-x) , lim →0 cos x / pi - x , lim x → 0 cos 2x - 1 / cos x -1

Exercise Question 15 - 17   limit x →

=18. limit x tends to zero (ax + xcosx) divide by bsinx

18. limit x tends to zero (ax + xcosx)

=19- 20 : limit x tends 0 xsecx , lim x tends to zero (sinax + bx)/(ax + sinbx)

19- 20 : limit x tends 0 xsecx , lim x

=21 limit x tends to 0 (cosec x - cotx)

21 limit x tends to 0 (cosec x - cotx)

=22. limit x tends to pi/2 tan2x /(x- pi/2)

22. limit x tends to pi/2 tan2x /(x-

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