SOLUTION: Limx>0 root1+x-1/log(1+x)

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Question 847201: Limx>0 root1+x-1/log(1+x)
Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
lim %28sqrt%281%2Bx%29+-+1%29%2Flog%281%2Bx%29
x->0
Use L'hopital rule.
Derivative of numerator is 1%2F%282%2Asqrt%281%2Bx%29%29
Derivative of denominator is 1%2F%28x%2B1%29
Plugging in 0 for numerator gives 1/2
Plugging in 0 for denominator gives 1.
%281%2F2%29%2F1 = 1/2