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Important Questions

Continuity and Differentiability — Important Questions

ICSE · Class 12 · Mathematics

105 important questions from Continuity and Differentiability for ICSE Class 12 Mathematics, with answers. Includes MCQ and multiple choice questions.

105 questions29 flashcards9 formulas & key relations5 concepts

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A graph of a continuous function at a specific point, showing the limit approaching the function value, illustrating that the function is unbroken and defined at that point.
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105 Questions·
MCQmultiple choice

Important Questions from Continuity and Differentiability

1MCQ

The value of lim_{x→0}(sin x / x) is:

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B

lim_{x→0}(sin x / x) = 1 is a standard limit. This is Theorem 8.1(i).

2MCQ

The value of lim_{x→0}(eˣ − 1) / x is:

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C

lim_{x→0}(eˣ−1)/x = 1 is a standard exponential limit (Theorem 8.1(iii)).

3MCQ

lim_{x→0}(tan x / x) equals:

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A

lim_{x→0}(tan x/x) = 1. Since tan x = sin x/cos x and cos x→1 as x→0.

4MCQ

A function f is continuous at x = c if:

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B

The complete definition: f is continuous at c if lim_{x→c}f(x) = f(c), which requires f(c) defined, limit exists, and limit = f(c).

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What are the important topics in Continuity and Differentiability for ICSE Class 12 Mathematics?
Key topics in Continuity and Differentiability include Limits and One-Sided Limits, Continuity at a Point and on an Interval, Algebra of Continuous Functions, Differentiability at a Point and One-Sided Derivatives. Study these first, then practise questions on each for the ICSE Class 12 board exam.
How many important questions are there in Continuity and Differentiability?
Super Tutor has 105 practice questions for Continuity and Differentiability, including MCQ, multiple choice questions. A sample with answers is on this page.

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Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All ICSE Class 12 Mathematics Important Questions

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