Project ForgeEngineering Mathematics
Calculus
GATE 2007
Easy
lim(x→0) [eˣ − (1+x+x²/2)] / x³ =
- A0
- 1/6
- C1/3
- D1
Explanation
eˣ = 1+x+x²/2+x³/6+O(x⁴), so the numerator ≈ x³/6 for small x, giving the limit 1/6.
Source: GATE ME 2007 (2007)
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