limx趨近於0(1/(EX次方-1)-1/x)

limx趨近於0(1/(EX次方-1)-1/x)

lim {1/[e^(x^2)-1]-1/x}
= lim [x+1-e^(x^2)]/{x[e^(x^2)-1)]}(分母等價無窮小代換)
= lim [x+1-e^(x^2)]/x^3(0/0)
= lim [1-2xe^(x^2)]/(3x^2)=∞