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   

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

Question: The value

(a) 8
(b) –8
(c) 7
(d) 5 

Question:

(a) 7/3
(b) -7/2
(c) -7/3
(d) 7/2 

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 

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

Question: Find

(a) 5
(b) 6
(c) 4
(d) 7 

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

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

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

Question: The value

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

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

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

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

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

Question: lim x^m-1/xⁿ-1is equal to
     ^x→1
(a) 1
(b) m/n
(c) -/m/n
(d) m²/n² 

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

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

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

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

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

Question: Let

(a) –1
(b) 1
(c) 0
(d) 2 

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 

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

Question:

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   

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 

Question: The derivative of sin³ x cos³ x is 
(a) 3/5 sin² 2x cos 2x
 (b) 3/4 sin² 2x cos 2x
(c) 3/4 sin 2xcos² 2x 
(d) 3/2 sin² 2x cos 2x