# MCQ Chapter 13 Limits and Derivatives Class 11 Mathematics

Please refer to Limits and Derivatives MCQ Questions Class 11 Mathematics below. These MCQ questions for Class 11 Mathematics with answers have been designed as per the latest NCERT, CBSE books and syllabus issued for the current academic year. These objective questions for Limits and Derivatives will help you to prepare for the exams and get more marks.

## Limits and Derivatives MCQ Questions Class 11 Mathematics

Please see solved MCQ Questions for Limits and Derivatives in Class 11 Mathematics. All questions and answers have been prepared by expert faculty of standard 11 based on latest examination guidelines.

### MCQ Questions Class 11 Mathematics Limits and Derivatives

Question: The value of limX4-4/x→√2 X2+3√2X-8
(a) -8/5
(b) 7/5
(c) 8/5
(d) None of these

C

Question: The value of lim(1+X)6-1/x→1(1+X)2-1 is
(a) 20
(b) 21
(c) 15
(d) 17

B

Question: The value

(a) 8
(b) –8
(c) 7
(d) 5

A

Question:

(a) 7/3
(b) -7/2
(c) -7/3
(d) 7/2

D

Question: The value of lim X7-2X5+1/X→1 X3-3X2+2 is
(a) 0
(b) 1
(c) –1
(d) 3  b

Question: The value of lim Sin22X/SIN24X  is
x→0
(a) 1/2
(b) -1/4
(c) 1/4
(d) -1/2

C

Question: lim sin22x/sin2 4x is
x→0
(a) 2
(b) –2
(c) 3
(d) –3

A

Question: Find

(a) 5
(b) 6
(c) 4
(d) 7

A

Question: lim √3 sin x-cos x/x-π/6
x→π/6
(a) 3
(b) –2
(c) 2
(d) 4

C

Question: lim sin x -sin a/√x-√a is equal to
x→ a
(a) √a a cos
(b) √a cos a
(c) -2 √a cos a
(d) 2√a cos a

D

Question: lim 2sin x-sin x – sin 2x/x3
x→0
(a) –1
(b) 1
(c) 2
(d) –2

B

Question: The value

(a) 1/2√3
(b) -1/√2
(c) 1/√2
(d) None of these

C

Question: lim sinx/x-π    is equal to
(a) 1
(b) 2
(c) –1
(d) –2

C

Question: limcot2 x-3/cosec x-2 is equal to
x→π/6
(a) 3
(b) 4
(c) 2
(d) 1

B

Question: lim 1-cos 4θ/1-cos 6θ is equal to
0→0
(a) 4/9
(b) 1/2
(c) -1/2
(d) –1

A

Question: lim (1+X)n-1/X is equal to
x→0
(a) n
(b) 1
(c) -n
(d) 0

A

Question: lim xm-1/xn-1is equal to
x→1
(a) 1
(b) m/n
(c) -/m/n
(d) m2/n

B

Question: lim sinx/√x+1-√1-x is
x→0
(a) 2
(b) 0
(c) 1
(d) –1

C

Question: lim x2 cos x/1-cos x is equal to
x→0
(a) 2
(b) 3/2
(c) -3/2
(d) 1

A

Question: lim (√x-1)(2x-3)/2×2+x-3
x→0
(a) 1/10
(b) -1/10
(c) 1
(d) None of these

B

Question: lim cosec x- cot x/x is equal to
x→0
(a) -1/2
(b) 1
(c) 1/2
(d) 1

C

Question: lim |x-4|/x-4 is equal to
x4→
(a) 1
(b) –1
(c) does not exist
(d) None of these

C

Question: Let

(a) –1
(b) 1
(c) 0
(d) 2

B

Question: The derivative of (x+1/x)3 is
(a) 3x2 +3/x4 + 3+ 3/x2
(b) 3x2-3/x4+3-3/x2
(c) 3x2 + 3/x4 +3 -3/x2
(d) None of these

B

Question: lim tan 2x-x/3x-sin x is
x→ 0
(a) 2
(b) 1/2
(c) -1/2
(d) 1/4

B

Question:

B

Question: The derivative of(ax2 + cot x) p+q cos x)  is
(a) ax2 cot x(-q sin x) + (p+q cos x) (2ax-cosec2 x)
(b) ax2 cot x(q sin x) + (p+q cos x) (2ax-cosec2 x)
(c) ax2 cot x(-q sin x) + (p-q cos x) (2ax-cosec2 x)
(d) None of the above

A

Question: The derivative of (3x+5)(1+tan x) is
(a) 3x sec2 x-6 sec2 x-3+3 tan x
(b) 3x sec2 x-6 sec2 x-3-3 tan x
(c) 3x sec2 x+5 sec2 x+3+3 tan x
(d) None of the above