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.

Start free Book a demo
All Hard Medium
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)
$\infty$
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers, instant hints, and detailed explanations.
Sign in to view
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)
$\infty$
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers, instant hints, and detailed explanations.
Sign in to view
Protected Questions

Unlock All 6 Questions in Vector Line, Surface & Volume Integrals (Green’s, Gauss & Stokes Theorems)

Log in or sign up free to access every question with complete solutions, create chapter practice tests, and track your performance.

Sign in to unlock Create free account

Sign up free to access all 6 questions

Unlock every Vector Line, Surface & Volume Integrals (Green’s, Gauss & Stokes Theorems) question, generate papers, and practice at your own pace.

Start free