Răspuns:
Explicație pas cu pas:
lim (xlnx-1)=lim xlnx - lim 1 = lim 1/(1/x) ln x - 1 = lim lnx/(1/x) = lim (lnx)'/(1/x)' =
lim (1/x)/(-1/x^2) - 1 =-lim x^2/x -1 = - lim x - 1 = -0-1=-1 ( x->0+)
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Răspuns:
Explicație pas cu pas:
lim (xlnx-1)=lim xlnx - lim 1 = lim 1/(1/x) ln x - 1 = lim lnx/(1/x) = lim (lnx)'/(1/x)' =
lim (1/x)/(-1/x^2) - 1 =-lim x^2/x -1 = - lim x - 1 = -0-1=-1 ( x->0+)