limx→1 [x^(1/2)-1]/[x^(1/3)-1]

limx→1 x^2-x+1/x-1= limx→0+x^sinx= limx→1(x^2-x+1)/(x-1) limx→∞{x-x^2*In(1+ x^-1) limx→0(2+x／2-x)∧1/x limx→0 (e^x-1)x^2/x-sinx limx→∞[(x+1)/(x+2)]^x limx→∞ x平方-1 /2x平方-x limx→0(1-x)^(1/x) limx→-1(x^3/x+1) limx→0(1-x)^x= limx(√(1+x^2)-x) 1.limx→∞(1-1/2x)^x 2.limx→∞(1﹢x／x)^2x 3.limx→∞(1+1/x+3)^x 4.limx→0(1+2x)^1/x 求3个极限:limx→0 sin3x/2x=?limx→∞ xsin(1/x)=?limx→0 [sin(1/x)]/(1/x)=? 求limx→+∞ (1-1/x)^x^1/2 limx→∞(1+1/2x)^3x+2 limx→∞(1+ 1/x)^x/2 limx→0(1+ 1/x)^x/2 limx→∞(1-1/2x)^x求极限