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Indeterminate Forms — Practice Quiz

ICSE · Class 12 · Mathematics

Try a 4-question quiz on Indeterminate Forms for ICSE Class 12 Mathematics: tap an answer to check it and see why. 127 questions in the full chapter test.

127 questions27 flashcards7 formulas & key relations5 concepts

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Quick Quiz: Indeterminate Forms

0/4

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

1

For the limit \(\lim_{x\to 1}\frac{x^{15}-1}{x^{10}-1}\), what is the correct value?

2

For the limit \(\lim_{x\to 1}\frac{x^{1/3}-1}{x^{1/6}-1}\), what is the correct value?

3

For the limit \(\lim_{x\to 1}\frac{1-x^{-1/3}}{1-x^{-2/3}}\), what is the correct value?

4

For the limit \(\lim_{x\to 9}\frac{x^{3/2}-27}{x^{2}-81}\), what is the correct value?

127 Questions·
mcqmultiple choicemultiple correct

Sample Questions

1mcq

Which of the following is an indeterminate form?

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0/0

0/0 is an indeterminate form because knowing both limits are 0 is not enough to determine the overall limit. 1/0 is ∞ (not indeterminate), and 0/1 = 0.

2mcq

How many standard indeterminate forms are there?

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7

There are 7 indeterminate forms: 0/0, ∞/∞, 0·∞, ∞-∞, 0⁰, ∞⁰, and 1^∞.

3mcq

L'Hôpital's Rule is applicable to which types of indeterminate forms directly?

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0/0 and ∞/∞

L'Hôpital's Rule is directly applicable to 0/0 and ∞/∞ forms. Other forms must first be converted to one of these.

4mcq

Using L'Hôpital's Rule, evaluate lim[x→0] (eˣ - 1)/x.

Show answer

1

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

+123 more questions on Indeterminate Forms (ICSE Class 12 Mathematics)

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Frequently Asked Questions

What are the important topics in Indeterminate Forms for ICSE Class 12 Mathematics?
Key topics in Indeterminate Forms include Meaning of Indeterminate Forms and Basic Idea, Converting 0 times infinity and infinity minus infinity, Powers: 0 to the power 0, infinity to the power 0, and 1 to the power infinity, Important Examples and Result Patterns. Study these first, then practise questions on each for the ICSE Class 12 board exam.
How many practice questions are there for Indeterminate Forms?
There are 127 questions on Indeterminate Forms. 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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