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Question
Evaluate the following limits:
`lim_(x -> oo)(1 + 1/x)^(7x)`
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Solution
We know `lim_(x -> oo)(x + 1/x)^x` = e
`lim_(x -> oo)(1 + 1/x)^(7x) = [lim_(x -> oo)(1 + 1/x)^x]^7`
= e7
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