NUST NET Mathematics — Functions and Limits
Functions and Limits is part of the FSc Mathematics course that NUST NET-Engineering draws on (Mathematics is 100 of the 200 MCQs). It breaks into 4 subtopics, and we hold 109 NET-pattern practice MCQs on it, each with a written explanation. Tap a subtopic below to practise just that.
Subtopics (4)
How Functions and Limits is tested
Across the 8 NET-pattern papers on ParhaiKrlo, Functions and Limits accounts for 44 questions. It appears in all 8, about 5.5 questions a paper. The heaviest was NUST NET Past Paper 07, with 6 questions.
| Paper | Questions |
|---|---|
| NUST NET Past Paper 07 | 6 |
| NUST NET Past Paper 08 | 6 |
| NUST NET Past Paper 05 | 6 |
| NUST NET Past Paper 06 | 6 |
| NUST NET Past Paper 03 | 6 |
| NUST NET Past Paper 04 | 4 |
| NUST NET Past Paper 01 | 5 |
| NUST NET Past Paper 02 | 5 |
Functions and Limits MCQs from the NET-pattern papers
Try each one before opening the answer. Each comes with a short explanation.
- Q1 · NUST NET Past Paper 07 · Functions and Limits
The domain of f(x) = √(x − 3)/(x − 5) is:
- A.x ≥ 3
- B.x > 3
- C.x ≥ 3 and x ≠ 5
- D.all real x except 5
Show answer
Answer: C. x ≥ 3 and x ≠ 5 — Need x − 3 ≥ 0 and x − 5 ≠ 0: x ≥ 3 and x ≠ 5.
- Q2 · NUST NET Past Paper 08 · Functions and Limits
The function ln x is defined only for:
- A.x ≤ 0
- B.all real x
- C.x > 0
- D.x ≥ 1
Show answer
Answer: C. x > 0 — The natural logarithm is defined only for positive numbers.
- Q3 · NUST NET Past Paper 05 · Functions and Limits
The range of f(x) = x² + 4, where x is any real number, is:
- A.all real numbers
- B.[0, ∞)
- C.[4, ∞)
- D.(4, ∞)
Show answer
Answer: C. [4, ∞) — x² ≥ 0, so x² + 4 ≥ 4, with 4 attained at x = 0: range [4, ∞).