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using l'hopital's rule: lim x goes to 0+ " from the right " for f(x)=xLnx please check my answer : we simplify it to get lnx/1/x then we evaluate to get infinity over infinity then : 1/x/-1/x^2 1/x * x^-2/1 x goes with x^-2 to get x^-1 lim x goes to +0 , x^-1/1 = 0
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