lim(x,y)→(0,0) (1+xcosy)^(1/x)

lim(x,y)→(0,0) (1+xcosy)^(1/x) lim(x→0y→1)(1+xe^y)^(2y+x/x)求极限 lim(x→+∞,y→0) (1+1/x)^(x^2/(x+y)) 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) 求lim x→0,y→0 xsin[1/(x+y)]的极限 当x→0 y→1时 求lim(1-xy)/x²+y² 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)] 求下列各极限 lim(x,y)→(0,1) (2-xy)/(x^2+2y) lim(x,y)->(0,2)(1-3xy)^2/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) 1.lim(2x-sinx)/(2x+sinx) (x→0)2.lim(sinsinx)/x (x→0)3.lim 4/y (y→∞) 试证明极限 lim(x^2*y^2)/(x^2*y^2+(x-y)^2)不存在还有一题 计算二重极限lim(x^2+y^2)sin(1/(x^2+y^2))x→0，y→0 一道高数题设函数f(x)具有三阶导函数,lim（x趋近于0）f(x)/x=1,且f‘’（x)>0,则（）设函数f(x)具有三阶导函数,lim（x趋近于0）f(x)/x=1,且f‘’（x)>0,则（）A.f(x)=xB.f(x)>=xC.f(x) 求二元函数极限 x→0,y→0,lim [(x+y)sin(1/x)cos(1/y)] 证明下列极限不存在 lim(x→0,y→0) （X+Y)/(X-Y) lim((x-y)/(x+y))求极限.(x,y)→(0,0) 一道数学题：lim(x,y)→(0,0)(x-y)/(x+y)