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Home › TS EAMCET › Mathematics › Limits and Continuity › Evaluate: lim(x→0) (1 + 3x)^(1/x).

Evaluate: lim(x→0) (1 + 3x)^(1/x).

Ae
Be³
C3e
D1
Answer & Solution
Correct answer: B. e³
The limit of (1 + kx)^(1/x) is eᵏ, so with k = 3 it equals e³.
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