求极限:lim(1/x-1/(e^x-1)) x趋向于0

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求极限:lim(1/x-1/(e^x-1))x趋向于0求极限:lim(1/x-1/(e^x-1))x趋向于0求极限:lim(1/x-1/(e^x-1))x趋向于0lim(x→0)(1/x-1/(e^x

求极限:lim(1/x-1/(e^x-1)) x趋向于0
求极限:lim(1/x-1/(e^x-1)) x趋向于0

求极限:lim(1/x-1/(e^x-1)) x趋向于0
lim(x→0)(1/x-1/(e^x-1))
=lim(x→0)(e^x-1-x)/[x(e^x-1)]
=lim(x→0)(e^x-1-x)/x^2
=lim(x→0)(e^x-1)/(2x)
=lim(x→0)x/(2x)
=1/2