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Limits

ICSE · Class 11 · Mathematics

Practice quiz for Limits — ICSE Class 11 Mathematics. MCQs and questions with answers to test your preparation.

60 questions31 flashcards5 concepts

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A graph of a function f(x) with a removable discontinuity (a hole) at x=a. Show arrows on the x-axis indicating x approaching 'a' from both the left and the right. Corresponding arrows on the y-axis s
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Quick Quiz: Limits

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Tap an answer to check it instantly. No sign-up needed for these 4.

1

Evaluate: lim_{x→2} (x + 5)

2

Evaluate: lim_{x→0} (3x² + 2x + 1)

3

What is lim_{x→0} sin x / x?

4

Evaluate: lim_{x→1} (x² − 1)/(x − 1)

60 Questions·
multiple choice

Sample Questions

1multiple choice

lim_{x→3} (x² + 3x − 4) equals:

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14

Direct substitution: (3)² + 3(3) − 4 = 9 + 9 − 4 = 14.

2multiple choice

The value of lim_{x→0} tan x / x is:

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1

Standard limit: lim_{x→0} tan x / x = 1. This follows from sin x/x = 1 and cos x → 1.

3multiple choice

Evaluate: lim_{x→2} (x³ − 8)/(x − 2)

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12

x³−8 = (x−2)(x²+2x+4). Cancel (x−2): lim_{x→2}(x²+2x+4) = 4+4+4 = 12.

4multiple choice

The limit lim_{x→c} f(x) exists if and only if:

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LHL = RHL

A limit exists iff the left-hand limit equals the right-hand limit (LHL = RHL = l).

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Frequently Asked Questions

What are the important topics in Limits for ICSE Class 11 Mathematics?
Key topics in Limits include Mind map showing diverse real-world applications of limit concepts across different fields, Limits Classification and Methods, Limits: Methods and Applications Overview. These are the concepts ICSE Class 11 examiners draw on most — study them first, then practise related questions.
How to score full marks in Limits — ICSE Class 11 Mathematics?
Understand the core concepts first, then work through the 60 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

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

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