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Formula Sheet

Limits and Derivatives — Formula Sheet

CBSE · Class 11 · Mathematics

13 formulas from Limits and Derivatives (CBSE Class 11 Mathematics) on one page, grouped by topic. Covers Intuitive Idea of Derivative.

142 questions50 flashcards13 formulas & key relations5 concepts

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13 Entries · 4 Sections

Formulas and Key Relations

2) Limits

lim_{x→a} f(x) = l

lim_{x→a-} f(x)

lim_{x→a+} f(x)

3) Algebra of Limits

lim_{x→a}[f(x) ± g(x)] = lim_{x→a}f(x) ± lim_{x→a}g(x)

lim_{x→a}[f(x)·g(x)] = lim_{x→a}f(x) · lim_{x→a}g(x)

lim_{x→a}[f(x)/g(x)] = lim f(x) / lim g(x)

lim_{x→a}(λf(x)) = λ lim_{x→a}f(x)

4) Polynomial and Rational Limits

f(x)=a0+a1x+a2x^2+…+anx^n

lim_{x→a} x^n = a^n

If f(x)=g(x)/h(x) and h(a)≠0, then lim f(x)=g(a)/h(a)

lim_{x→a}(x^n−a^n)/(x−a)=na^{n−1}

Intuitive Idea of Derivative

A body dropped from a cliff covers distance s = 4.9t^2 metres in t seconds.

Average velocity near t = 2 seconds gives a close estimate of instantaneous velocity.

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Frequently Asked Questions

What are the important topics in Limits and Derivatives for CBSE Class 11 Mathematics?
Key topics in Limits and Derivatives include For a body dropped from, A limit is the value, The left hand limit is, If two limits exist. Study these first, then practise questions on each for Class 11 exams.
How many formulas are in Limits and Derivatives?
This sheet lists 13 formulas from Limits and Derivatives, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
How should I revise Limits and Derivatives for Class 11 exams?
Learn the core ideas first, then work through the 142 practice questions on Limits and Derivatives. Revise 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.

More resources for Limits and Derivatives

All CBSE Class 11 Mathematics Formula Sheet

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