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NCERT Solutions Class 11 Mathematics Chapter 13 Limit and Derivatives Miscellaneous Solutions

Ncert Solutions for class 11 subject Maths Chapter 13 Limit And Derivatives in pdf Best Free NCERT Solutions for class 1 to 12 in pdf NCERT Solutions, cbse board, Maths, ncert Solutions for Class 11 Maths, class 11 Maths ncert solutions, Limit And Derivatives , Class 11, ncert solutions chapter 13 Limit And Derivatives , class 11 Maths, class 11 Maths ncert solutions, Maths ncert solutions class 11, Ncert Solutions Class 11 Mathematics Chapter 13 Limit And Derivatives

Formulas and Definitions Chapter 13 Class 11 Maths Limit And Derivatives Ncert Solutions

What is limit in mathematics limit x tends to 2 (x^2 -4)/ x - 2 , form of 0 by 0

Exercise Solutions 13.1 Chapter 13 Class 11 Maths Limit And Derivatives Ncert Solutions

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

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

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

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

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

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

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

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

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

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

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

Exercise Solutions 13.2 Chapter 13 Class 11 Maths Limit And Derivatives Ncert Solutions

Miscellaneous Solutions Chapter 13 Class 11 Maths Limit And Derivatives Ncert Solutions

Ncert Solution for class 6 to 12 download in pdf

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