数学分析选论题目求助

过程如图


高数难题

6题表达式不清楚


函数f(x,y)=xsin1y+ysin1x,xy≠00,xy=0,则极限limx→0y→...

即g(x,y)=xsin1y极限为0,同理可知函数ysin1x 极限也为0,故limx,y→0f(x,y)=0,故选:C.


f(x,y)=xsin1/y+ysin1/x,xy≠0 0 xy=0 证明lim [limf...

f(x,y)=xsin1/y+ysin1/x,xy≠0 0 xy=0证明lim [limf(x,y)],lim [limf(x,y)]均不存在,但 x→0 y→0 y→0 x→0limf(x...


...∫ (0→x+y) e^( - t^2)dt=∫ (0→x) xsin(t^2)dt...

这是变上限求导运算法则,左边:把上限带入被积函数再乘以对上限求导,然后减去把下限带入函数、乘以对下限求导(本题是0);右边把X提...


lim(x - >0 y - >0)(x+y)sin1/(x+y)=0 为什么不是等于1了...

求极限公式,lim x趋于无穷,sinx/x x/sin1/x lim x趋于0,xsin1/x 1/xsinx xsin1/x 求极限lim{(x^2/sinx)×sin1÷x}x趋向0 lim...


f(x,y)=xsin(1/(x^2+y^2)) 求关于X的偏导数fx(0,0)及关...

f(x,y)=xsin[1/(x^2+y^2)]df(x.y)=sin[1/(x^2+y^2)]dx+xcos[1/(x^2+y^2)]*[(x^2+y^2)^(-1)]'...


...B.2∫∫(D1)cosxsinydxdy C.4∫∫(D1)(xy+cosxsiny...

A.2∫∫(D1)xydxdy B.2∫∫(D1)cosxsinydxdy C.4∫∫(D1)(xy+cosxsiny)dxdy D.0 我看到你已经回答过这个问题,xy与cosxsiny和...


...2)/3x=5,求f'(0)3.y=xsin(1/x),x≠0; 0,x=0,讨论此...

答:1.函数在定义域是连续的.当01-,f'(x)=2x-3x^2=-1;x->1+,f'(x)=3x^2-2x=1,此时f(x)在x=1处左右导数不相等....


...则正整数n等于 - - - 3.x=0是函数f(x)=xsin1/x的 - - - A...

1.Y=log2 [x+√(x2 +1)]的奇偶性?f(x)=Y=log2 [x+√(x2 +1)],f(-x)=Y=log2 [-x+√(x2 +1)]==log2 ...


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