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Chapter 16 of 18
Important Questions

Indeterminate Forms — Important Questions

ICSE · Class 11 · Mathematics

59 important questions from Indeterminate Forms for ICSE Class 11 Mathematics, with answers. Includes multiple choice questions.

59 questions30 flashcards11 formulas & key relations5 concepts

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59 Questions·
multiple choice

Important Questions from Indeterminate Forms

1multiple choice

Evaluate using L'Hôpital's Rule: lim_{x→0} sin ax / (bx), b ≠ 0.

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a/b

0/0 form. L'Hôpital: (a cos ax)/b. At x=0: a cos(0)/b = a/b.

2multiple choice

Which of the following is NOT an indeterminate form?

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∞/0

∞/0 is NOT an indeterminate form — it equals ∞ (or −∞). The indeterminate forms are 0/0, ∞/∞, 0·∞, ∞−∞, 0⁰, ∞⁰, 1^∞.

3multiple choice

Evaluate: lim_{x→0} (e^x − 1)/x

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1

0/0 form. L'Hôpital: eˣ/1 = eˣ. At x=0: e⁰ = 1.

4multiple choice

For which form do we use the method: let y = f^g, take log, find lim(log y), then answer = e^(limit)?

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1^∞, 0⁰, ∞⁰

The log technique (let y = f^g, take log) is used for exponential indeterminate forms: 1^∞, 0⁰, and ∞⁰.

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Frequently Asked Questions

What are the important topics in Indeterminate Forms for ICSE Class 11 Mathematics?
Key topics in Indeterminate Forms include Meaning of Indeterminate Forms and the Main Types, L'Hôpital's Rule for 0/0 and ∞/∞, Working Rules for 0·∞ and ∞-∞, Power Forms 0^0, ∞^0, and 1^∞. Study these first, then practise questions on each for Class 11 exams.
How many important questions are there in Indeterminate Forms?
Super Tutor has 59 practice questions for Indeterminate Forms, including multiple choice questions. A sample with answers is on this page.

Sources & Official References

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

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All ICSE Class 11 Mathematics Important Questions

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