Limit without using de l'hopital

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    l'hopital Limit
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catapax
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how can i solve lim (1+2^1/x)/(3+2^1/x) without using de l'hopital?
 
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catapax said:
sorry for x→0±

Split it into cases. What lim x->0+ of 2^(1/x)? What about lim x->0-? You should be able to tell just by thinking about it.