Practice Algebraic Evaluation Of Limits (4) - Limits - IB 10 Mathematics

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6 questions · about 4 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Evaluate: lim_x→3(x² - 2x + 1)
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Use direct substitution.
Question 2.
Evaluate: lim_x→4 (x² - 16)/(x - 4)
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Factor the expression first.
3Question 3.
What is the limit of f(x) = 3x + 1 as x approaches 2?
- 5
- 6
- 7
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Remember to substitute directly into the function.
4Question 4.
True or False: If lim_x→a f(x) = L and lim_x→a f(x) does not exist, then f(x) cannot approach L.
- True
- False
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Think about the distinction between existing and approaching a value.
Question 5.
Evaluate lim_x→0 sin(x)/x.
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Consider using L'Hôpital's Rule.
Question 6.
Prove that lim_x→∞(2x² + 3x)/(5x² + x) = 2/5.
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Look at the leading coefficients of the polynomials.

4 more questions in this section. Enroll free to practise them all.