Practice Notation Of Limit (4.2.2) - Calculus - ICSE 11 Maths
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Notation of Limit

Practice - Notation of Limit

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Practice Questions

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Question 1 Easy

What does the notation lim x→3 f(x) = 5 signify?

💡 Hint: Think about what happens to the function as we near x = 3.

Question 2 Easy

Is it possible for a limit to exist if the function is not defined at that point?

💡 Hint: Consider situations with holes in graphs.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the notation for limit?

lim x→a f(x) = L
lim f(x) = L
f(x) → L as x → a

💡 Hint: Recall the standard expression used in calculus.

Question 2

True or False: Limits can only exist if the function is defined at that point.

True
False

💡 Hint: Think about holes in the graph.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Find the limit: lim x→2 (x^2 - 4)/(x - 2). Explain your reasoning.

💡 Hint: Consider how to simplify the expression before applying the limit.

Challenge 2 Hard

Evaluate: lim x→infinity (1/x). Discuss the significance of the result.

💡 Hint: Think about how the terms behave as x increases without bound.

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