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Unformatted text preview: ÅØ ¾¿ ×× ÒÑ ÒØ ½ Ù Ö Ý¸ Å Ý ½ Ø ½º ÓÖ µË µË µË Ø Ø Ø ÓØ Ø ÓÐÐÓÛ Ò ÓÑ ÒÓ ÙÒ Ø ÓÒ× Ò ×Ø Ø f : R2 → R Ø ÖÒ Ó f Ò fº Ð Ú Ð ÙÖÚ × Ø ×ÙÖ ÖÓ×× × Ø ÓÒ׺ z = f (x, y )º µ µ f (x, y ) = x2 º f (x, y ) = |1 − x2 − y 2 |º ¾º Ò Ø Ð Ñ Ø¸ Ø Ü ×Ø׸ ÓÖ × ÓÛ Ø ØØ ÐÑØ Ó × ÒÓØ Ü ×غ µ µ µ µ x 2 −y 2 º x 2 +y 2 (x,y )→(0,0) lim y 2 −4|y |−2|x| º |x|+2|y | (x,y )→(0,0) lim x2 y 3 º x 4 +y 6 (x,y )→(0,0) lim x4 y 5 º x 8 +y 6 (x,y )→(0,0) lim ¿º ÄØ Ø ||| f (x, y ) = |xxc +yy||d Û Ö a¸ b¸ c¸ Ò d || lim f (x, y ) Ü ×Ø× Ò ÕÙ Ð× Þ Ò (x,y )→(0,0) a b Ö ÔÓ× Ø Ú ÒÙÑ ÖÓº Ö׺ ÈÖÓÚ Ø Ø a c b + d > 1¸ ½ ...
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