Given that limit exists find (lt_{(x,y,z) rightarrow(2,2,2)} left ( frac{ln(1+ frac{xy-2x-y+z}{xz-2x-6z+12}+ frac{xz-5x-2z+10}{xy-7y-2x+14}}{(x-2)(y-2)(z-2)} right ) )

Given that limit exists find (lt_{(x,y,z) rightarrow(2,2,2)} left ( f

1.	Given that limit exists find (lt_{(x,y,z) rightarrow(2,2,2)} left ( frac{ln(1+ frac{xy-2x-y+z}{xz-2x-6z+12}+ frac{xz-5x-2z+10}{xy-7y-2x+14}}{(x-2)(y-2)(z-2)} right ) )
A.
B.	1
C.	0
D.	ln(<sup>4</sup> <sub>5</sub>)
Answer» B. 1

Discussion

No Comment Found

Related MCQs

Observe the figure. It is given that the function has no limit as (x, y) (0 ,0) along the paths given in the figure. Then which of the following could be f(x, y)
Two men on a 3-D surface want to meet each other. The surface is given by (f(x,y)= frac{x^6.y^7}{x^{13}+y^{13}} ). They make their move horizontally or vertically with the X-Y plane as their reference. It was observed that one man was initially at (400, 1600) and the other at (897, 897). Their meet point is decided as (0, 0). Given that they travel in straight lines, will they meet?
Two men on a 3-D surface want to meet each other. The surface is given by (f(x,y)= frac{x^{-6}.y^7}{x+y} ). They make their move horizontally or vertically with the X-Y plane as their reference. It was observed that one man was initially at (200, 400) and the other at (100, 100). Their meet point is decided as (0, 0). Given that they travel in straight lines, will they meet?
Given that limit exists (lt_{(x,y,z) rightarrow(0,0,0)} left ( frac{cos( frac{ pi}{2}-x).tan(y).cot( frac{ pi}{2}-z)}{sin(x).sin(y).sin(z)} right ) )
Given that limit exists find (lt_{(x,y,z) rightarrow(2,2,2)} left ( frac{ln(1+ frac{xy-2x-y+z}{xz-2x-6z+12}+ frac{xz-5x-2z+10}{xy-7y-2x+14}}{(x-2)(y-2)(z-2)} right ) )
Given that limit exists find (lt_{(x,y,z) rightarrow(-1,-1,-1)} frac{tan((x-1)(y-2)(z-3))}{(x-1)(y-6)(z+7)} )
Given that limit exist find (lt_{(x,y,z) rightarrow(-9,-9,-9)} frac{tan((x+9)(y+11)(z+7))}{(x+9)(y+10)} )
Given that limit exists find (lt_{(x,y,z) rightarrow(-2,-2,-2)} frac{sin((x+2)(y+5)(z+1))}{(x+2)(y+7)} )
Find (lt_{(x,y,z,w) rightarrow(3,1,1,11)} frac{x^4+y^2+z^2+2x^2y+2yz+2x^2z-(w)^2}{x^2+y+z-w} )
Find (lt_{(x,y,z,w) rightarrow(0,0,0,0)} frac{x^{-6}.y^2.(z.w)^3}{x+y^2+z-w} )

Given that limit exists find (lt_{(x,y,z) rightarrow(2,2,2)} left ( frac{ln(1+ frac{xy-2x-y+z}{xz-2x-6z+12}+ frac{xz-5x-2z+10}{xy-7y-2x+14}}{(x-2)(y-2)(z-2)} right ) )

Discussion

No Comment Found

Related MCQs

Reply to Comment