Curriculum
Course: Pure Mathematics — Second Secondary
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Curriculum

Pure Mathematics — Second Secondary

Unit 1: Real Functions and Curve Sketching

0/8

Unit 2: Exponents and Logarithms

0/12

Unit 3: Limits

0/6

Unit 4: Trigonometry

0/4
Quiz

Introduction to Limits — Lesson quiz

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  • Questions count: 6
  • Passing grade: 60%
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1.
Find the limit of 2x + 4 as x → 3.
10
6
7
16
2.
Find the limit of (x² − 1) ÷ (x − 1) as x → 1.
0
2
1
Does not exist
3.
Does f(x) = |x| ÷ x have a limit at 0?
Yes, and the limit is 0
Yes, and the limit is 1
No, because the right-hand limit is 1 and the left-hand limit is −1
Yes, and the limit is −1
4.
If f(x) = 3x + 1 for x 2 and f(2) = 5, what is the limit of f(x) as x → 2?
5
6
Does not exist
7
5.
Does the limit of 1 ÷ (x + 2) as x → −2 exist?
No, because the function tends to +∞ from the right and −∞ from the left
Yes, and the limit is 0
Yes, and the limit is −2
Yes, and the limit is 1/2
6.
Find the limit of x² + 3x as x → 0.
3
0
1
−3
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