GATE & PSUs - Engineering Mathematics & General Aptitude (Common)

Vector Line, Surface & Volume Integrals (Green’s, Gauss & Stokes Theorems) question bank (Calculus & Vector Calculus)

Practice 7 free GATE & PSUs - Engineering Mathematics & General Aptitude (Common) Calculus & Vector Calculus - Vector Line, Surface & Volume Integrals (Green’s, Gauss & Stokes Theorems) questions with answers and step-by-step solutions.

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Q1.
[Vector Line, Surface & Volume Integrals (Green’s, Gauss & Stokes Theorems) Concept 5] What is the value of $\lim_{x \to 0} \frac{x - \sin x}{x^3}$?

(A)
$\frac{1}{6}$
(B)
$0$
(C)
$\frac{1}{3}$
(D)
$\infty$
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Q2.
[Vector Line, Surface & Volume Integrals (Green’s, Gauss & Stokes Theorems) Concept 10] What is the value of $\lim_{x \to 0} \frac{x - \sin x}{x^3}$?

(A)
$\frac{1}{6}$
(B)
$0$
(C)
$\frac{1}{3}$
(D)
$\infty$
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