How many MCQ questions are available for Limits and Derivatives?

There are 66 MCQ questions available for Limits and Derivatives (Class 11 Mathematics) — 27 easy, 28 medium, and 11 hard.

Limits and Derivatives

Q: What topics are covered in Limits and Derivatives?

Key concepts covered: Algebra of derivatives, Algebra of limits, Derivatives, Derivatives of standard functions, Intuitive idea of limits, Left hand and right hand limits, Limits of polynomials and rational functions, Limits of trigonometric functions, Product and quotient rules, Standard limit formulas.

Class 11 · Mathematics

66 questions27 easy28 medium11 hard

Sample Questions

Q1.For a function to be differentiable at a point x=a, it must first be:

AMonotonic at x=a
BContinuous at x=a
CBounded near x=a
DDefined only at x=a

Q2.lim(x→0) (sin x°)/x (where x is in degrees) equals:

A1
Bπ/180
C180/π
D0

Q3.lim(x→2) [x–2]/|x–2|:

AEquals 1
BEquals –1
CEquals 0
DDoes not exist

Q4.lim(x→0) (sinx – x)/x³ using Taylor series is:

A0
B1/6
C–1/6
D1/3

Q5.If lim(x→0) f(x)/x = 3, then lim(x→0) f(x) =

A3
B1/3
C0
DCannot be determined

Q6.This is a sample question to preview what you'll get in the full practice test...

A. Option one
B. Option two
C. Option three
D. Option four

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Concepts Covered

Algebra of derivativesAlgebra of limitsDerivativesDerivatives of standard functionsIntuitive idea of limitsLeft hand and right hand limitsLimits of polynomials and rational functionsLimits of trigonometric functionsProduct and quotient rulesStandard limit formulas

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