lim(x→+∞,y→0) (1+1/x)^(x^2/(x+y))

lim(x→+∞,y→0) (1+1/x)^(x^2/(x+y)) lim(x,y)→(0,0) (1+xcosy)^(1/x) lim(x→0y→1)(1+xe^y)^(2y+x/x)求极限 求极限lim(x→0)sinxsin(1/x);lim(x→∞)(arctanx/x) ⒈lim(x→a):(sinx-sina)/(x-a) a为常数⒉lim(x→∞):(1+k/x)^(-x) k为常数⒊lim(y→0):(1-5y)^(1/y) 求lim(x→0)x cos 1/x lim(x→∞)x^2/ (3x-1)的极限 证明下列极限不存在(1) Lim x+y/x-y (2)lim x²y²/ x²y²+(x-y)²(x,y)→(0,0) (x,y)→(0,0) 1.lim(2x-sinx)/(2x+sinx) (x→0)2.lim(sinsinx)/x (x→0)3.lim 4/y (y→∞) 求极限lim x→∞ (x/(1+x))^x lim(x→+∞)(x+e^x)^(1/x) lim(1+x/x)2x (x→∞) Lim [x^2/(x^2-1)]^x (x→∞) lim（ x→∞）（1+x / x)^3x lim(x→0)e^x-x-1/x^2 当x→0 y→1时 求lim(1-xy)/x²+y² 求lim x→0,y→0 xsin[1/(x+y)]的极限 lim(x,y)→(0,0),(根号(1+xy)-1)/根号(x²+y²)=? 求下列极限:lim[(x,y)→(0,0)][1/(x^2+y^2)]