allerylim_(x→0) [(1 + x)^(1/x)] =
AInfinity
B0
Ce
D1
Answer & Solution
Correct answer: C. e
**Take log:** y = (1+x)^(1/x), ln y = (1/x) ln(1+x).
As x → 0, ln(1+x) ≈ x, so ln y → x/x = 1. Hence y → e.
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