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Question
Evaluate the following limit:
`lim_(x -> 3) [sqrt(x + 6)/x]`
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Solution
`lim_(x -> 3) [sqrt(x + 6)/x]`
= `(lim_(x -> 3) sqrt(x + 6))/(lim_(x -> 3) x`
= `sqrt(3 + 6)/3`
= `sqrt(9)/3`
= `3/3`
= 1
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