Class 11: Maths Chapter 29 solutions. Complete Class 11 Maths Chapter 29 Notes.
RD Sharma Solutions for Class 11 Maths Chapter 29–Limits
RD Sharma 11th Maths Chapter 29, Class 11 Maths Chapter 29 solutions
EXERCISE 29.1 PAGE NO: 29.11
1. Show that does not exist.
Solution:
Solution:
So, let x = 2 – h, where h = 0
Substituting the value of x, we get
EXERCISE 29.2 PAGE NO: 29.18
Evaluate the following limits:
EXERCISE 29.3 PAGE NO: 29.23
Evaluate the following limits:
∴ The value of the given limit is ½.
By substituting the value of x, we get
EXERCISE 29.4 PAGE NO: 29.28
Evaluate the following limits:
∴ The value of the given limit is ½.
We need to find the limit of the given equation when x => 0
Now let us substitute the value of x as 0, we get an indeterminate form of 0/0.
Let us rationalizing the given equation, we get
∴ The value of the given limit is ½.
EXERCISE 29.5 PAGE NO: 29.33
Evaluate the following limits:
EXERCISE 29.6 PAGE NO: 29.38
Evaluate the following limits:
= 3 / 2
EXERCISE 29.7 PAGE NO: 29.49
Evaluate the following limits:
So,
EXERCISE 29.8 PAGE NO: 29.62
Evaluate the following limits:
EXERCISE 29.9 PAGE NO: 29.65
Evaluate the following limits:
EXERCISE 29.10 PAGE NO: 29.71
Evaluate the following limits:
EXERCISE 29.11 PAGE NO: 29.71
Evaluate the following limits:
So here,
f (x) = cos x + sin x – 1
g (x) = x
Then,
RD Sharma Solutions for Class 11 Maths Chapter 29: Download PDF
RD Sharma Solutions for Class 11 Maths Chapter 29–Limits
Download PDF: RD Sharma Solutions for Class 11 Maths Chapter 29–Limits PDF
Chapterwise RD Sharma Solutions for Class 11 Maths :
- Chapter 1–Sets
- Chapter 2–Relations
- Chapter 3–Functions
- Chapter 4–Measurement of Angles
- Chapter 5–Trigonometric Functions
- Chapter 6–Graphs of Trigonometric Functions
- Chapter 7–Values of Trigonometric Functions at Sum or Difference of Angles
- Chapter 8–Transformation Formulae
- Chapter 9–Values of Trigonometric Functions at Multiples and Submultiples of an Angle
- Chapter 10–Sine and Cosine Formulae and their Applications
- Chapter 11–Trigonometric Equations
- Chapter 12–Mathematical Induction
- Chapter 13–Complex Numbers
- Chapter 14–Quadratic Equations
- Chapter 15–Linear Inequations
- Chapter 16–Permutations
- Chapter 17–Combinations
- Chapter 18–Binomial Theorem
- Chapter 19–Arithmetic Progressions
- Chapter 20–Geometric Progressions
- Chapter 21–Some Special Series
- Chapter 22–Brief review of Cartesian System of Rectangular Coordinates
- Chapter 23–The Straight Lines
- Chapter 24–The Circle
- Chapter 25–Parabola
- Chapter 26–Ellipse
- Chapter 27–Hyperbola
- Chapter 28–Introduction to Three Dimensional Coordinate Geometry
- Chapter 29–Limits
- Chapter 30–Derivatives
- Chapter 31–Mathematical Reasoning
- Chapter 32–Statistics
- Chapter 33–Probability
About RD Sharma
RD Sharma isn't the kind of author you'd bump into at lit fests. But his bestselling books have helped many CBSE students lose their dread of maths. Sunday Times profiles the tutor turned internet star
He dreams of algorithms that would give most people nightmares. And, spends every waking hour thinking of ways to explain concepts like 'series solution of linear differential equations'. Meet Dr Ravi Dutt Sharma — mathematics teacher and author of 25 reference books — whose name evokes as much awe as the subject he teaches. And though students have used his thick tomes for the last 31 years to ace the dreaded maths exam, it's only recently that a spoof video turned the tutor into a YouTube star.
R D Sharma had a good laugh but said he shared little with his on-screen persona except for the love for maths. "I like to spend all my time thinking and writing about maths problems. I find it relaxing," he says. When he is not writing books explaining mathematical concepts for classes 6 to 12 and engineering students, Sharma is busy dispensing his duty as vice-principal and head of department of science and humanities at Delhi government's Guru Nanak Dev Institute of Technology.