Project ForgeEngineering Mathematics
Calculus
GATE 2021
Easy
The value of lim(x→0) [(1 - cos x)/x²] is
- A1/4
- B1/3
- 1/2
- D1
Explanation
Using cos x ≈ 1 - x²/2 + x⁴/24 for small x: (1-cos x)/x² ≈ (x²/2)/x² = 1/2. This is a standard limit.
Source: GATE ME 2021 Session 1 (ME-1) (2021)
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