两道题目都用洛必达法则求解
lim ( x-sinx)/x^2
=lim(1-cosx)/2x
=lim-sinx/2
=0
lim[(1/x-1/(ex-1)]
=lim{[(ex-1)-x]/[x(ex-1)]} 通分
=lim(e^x-1)/(e^x-1+xe^x) 洛必达
=lime^x/(e^x+e^x+xe^x) 洛必达
=1/(1+1+0)
=1/2
两道题目都用洛必达法则求解
lim ( x-sinx)/x^2
=lim(1-cosx)/2x
=lim-sinx/2
=0
lim[(1/x-1/(ex-1)]
=lim{[(ex-1)-x]/[x(ex-1)]} 通分
=lim(e^x-1)/(e^x-1+xe^x) 洛必达
=lime^x/(e^x+e^x+xe^x) 洛必达
=1/(1+1+0)
=1/2