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

Indeterminate Forms & L’Hôpital’s Rule question bank (Calculus & Vector Calculus)

Practice 7 free GATE & PSUs - Engineering Mathematics & General Aptitude (Common) Calculus & Vector Calculus - Indeterminate Forms & L’Hôpital’s Rule questions with answers and step-by-step solutions.

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Q1.
[Indeterminate Forms & L’Hôpital’s Rule Concept 2] 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.
[Indeterminate Forms & L’Hôpital’s Rule Concept 7] 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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