Question
For the following two (02) items: Let f(x) = cases 1 - 2x x^2 , & x 0 cases What is _ x 0^- f(x) equal to?
NDA
Mathematics
Limits
2025
NDA 2025 (Phase 2)
NDA Mathematics Question (2025) — Solution
Options
- A. 2
- B. 4
- C. 6
- D. 8
Answer
A. 2
Step-by-step solution
For x To find the left-hand limit, we evaluate _ x 0^- f(x) _ x 0^- 1 - 2x x^2 Using the trigonometric identity 1 - 2x = 2 ^2 x _ x 0^- 2 ^2 x x^2 = 2 ( _ x 0^- x x )^2 Since _ x 0 x x = 1, we get: 2 (1)^2 = 2 Answer: 2
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