Question

limx趋近于0f(x)/x=3,则f(e^x-1)-tanx/x=

Answer 1

x→0时f(x)/x→f'(x)→f'(0)=3,

[f(e^x-1)-tanx]/x→f'(e^x-1)*e^x-(secx)^2→f'(0)-1=3-1=2.