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Limits & Continuity — JEE Practice

15 practice questions across 1 topics. Filter by difficulty, solve topic-wise MCQs, and review detailed solutions.

1 Topics15 Questions

Limits & Indeterminate Forms(15 Qs)

easy (5)

Q1lim(x→2) (x² - 4)/(x - 2) =Q2lim(x→0) sin(x)/x =Q3A function f is continuous at x=a if:Q4lim(x→∞) 1/x =Q5lim(x→0) (eˣ - 1)/x =

medium (5)

Q1lim(x→0) (1 + x)^(1/x) =Q2lim(x→0) tan(x)/x =Q3lim(x→0) (1 - cos x)/x² =Q4L'Hôpital's rule applies when the limit is of the form:Q5lim(x→∞) (3x² + 2x)/(5x² - 1) =

hard (5)

Q1lim(x→0) (x - sin x)/x³ =Q2lim(x→0) (aˣ - 1)/x =Q3lim(n→∞) (1 + 1/n)^n =Q4lim(x→0) [x]/x where [x] is floor function does not exist because:Q5lim(x→0⁺) x^x =

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