MTH 254 Lecture Notes - Lecture 12: Level Set, Chief Operating Officer, Partial Derivative
16 Nov 2018
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8 figure level curve but they don"t intersect for functions. W= f c x , y it ) If you fix w , then you have. 3d values that you can plot : e . x2tyfe= Limit to exist it needs to be the same limit ogcxt. tt#=dnex2ty2 not the for every path . Z includes every point and that includes the direction. Cx , y ) -7 c o , d. Two path test to prove there are two directions that don"t have the same limit. 3_y3_ ( x , g) co , 0 and y - so liymo if = hipita eihopitmy same value. The limit does not exist because two paths don"t agree . I ( 450 ) it the other two do not work. A function fcx , y ) is continuous at ca , b) if. Eca , b ) is defined . I ) exists ( x , y )
