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Limits — Practice Quiz

ICSE · Class 11 · Mathematics

Try a 4-question quiz on Limits for ICSE Class 11 Mathematics: tap an answer to check it and see why. 60 questions in the full chapter test.

60 questions31 flashcards15 formulas & key relations5 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

0/4

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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).

+56 more questions on Limits (ICSE Class 11 Mathematics)

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Frequently Asked Questions

What are the important topics in Limits for ICSE Class 11 Mathematics?
Key topics in Limits include Core Idea of Limit, Algebra of Limits, Methods for Evaluating Algebraic Limits, Standard Trigonometric Limits and Their Use. Study these first, then practise questions on each for Class 11 exams.
How many practice questions are there for Limits?
There are 60 questions on Limits. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

Sources & Official References

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

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