lim(1+f(x)sinx)^1/2 -1 /(e^x-1)=2 x->0 则limf(x)=?

lim(1+f(x)sinx)^1/2 -1 /(e^x-1)=2 x->0 则limf(x)=?

lim(1+f(x)sinx)^1/2 -1 /(e^x-1)=2
lim 1/2*f(x)*sinx/x=2
lim f(x)*sinx/x=4
lim f(x)=4