Practice Summary (8) - Limits - IB 10 Mathematics – Group 5, Calculus
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Practice Questions

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Question 1 Easy

Evaluate lim (3x + 1) as x approaches 2.

💡 Hint: Use direct substitution.

Question 2 Easy

Find lim (x^2) as x approaches 1.

💡 Hint: Substitute x = 1 into the function.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does lim f(x) as x approaches a mean?

It indicates a specific output
It indicates a trend towards a value
It indicates divergence

💡 Hint: Think about what limits convey.

Question 2

True or False: Indeterminate forms can lead to a clear limit without simplification.

True
False

💡 Hint: Remember examples where substitution leads to 0/0.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Evaluate lim (x^2 - 4)/(x - 2) as x approaches 2. Explain your reasoning and show steps.

💡 Hint: Factor out common terms before substituting.

Challenge 2 Hard

Prove that lim (1/tan(x)) as x approaches 0 exists and equals 1. Provide step-by-step justification.

💡 Hint: Work with limit identities to solve.

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