Limits and Derivatives
Class 11 · Mathematics
66 questions27 easy28 medium11 hard
Sample Questions
Q1.lim(x→1) (x¹⁵–1)/(x¹⁰–1) equals:
- A2/3
- B3/2
- C1
- D5
Q2.lim(x→0) (eˣ – 1)/x (using standard result) equals:
- A0
- B1
- Ce
- D∞
Q3.d/dx (sin x) is:
- A–cos x
- Bcos x
- Csin x
- D–sin x
Q4.lim(x→0) sin(ax)/sin(bx) (b≠0) equals:
- Ab/a
- Ba/b
- Cab
- D1
Q5.Find d/dx(x²sinx).
- A2x sinx – x²cosx
- Bx²cosx + 2x sinx
- C2x cosx
- Dx²sinx + 2x cosx
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
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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