lim(x→1)(2x^2-3x+4)?。ㄖ苯哟耄?br/>=3
lim(x→1）(x^3-1)/(x^2-1)
=lim(x→1）(x-1)(x^2+x+1)/[(x-1)(x+1)]
=lim(x→1）(x^2+x+1)/(x+1)
=3/2
∫[0,1]x*e^(2x)dx　（用分步積分法）
=1/2∫[0,1]x*de^(2x)
=1/2xe^(2x)[0,1]-1/2∫[0,1]e^(2x)dx　
=e^2/2-1/4e^(2x)[0,1]
=e^2/4 +1/4