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Question
Evaluate the following limits:
`lim_(x -> 0)(1 + x)^(1/(3x))`
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Solution
We know `lim_(x -> 0)(1 + x)^(1/x)` = e
`lim_(x -> 0)(1 + x)^(1/(3x)) = lim_(x -> 0)(1 + x)^(1/3 xx 1/x)`
= `[lim_(x -> 0)(1 + x)^(1/x)]^(1/3)`
= `"e"^(1/3)`
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