{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

a2 - a lim x,y →(0 0 | x |-| y | | x | | y | b lim x,y...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Math 237 Assignment 2 Due: Friday, Jan 21st * 1. Find the limit, if it exists, or show that the limit does not exist. a) lim ( x,y ) (1 , 2) ( x - y ) 2 | x | + | y | b) lim ( x,y ) (0 , 0) x 2 - 2 | x |- 2 | y | 2 | x | + | y | c) lim ( x,y ) (0 , 0) x 3 y 2 x 4 + y 6 * 2. Let f ( x, y ) = ( x 2 - y 2 x 2 + y 2 if ( x, y ) 6 = (0 , 0) 0 if ( x, y ) = (0 , 0) . Determine all points where f is continuous. * 3. Let f ( x, y ) = | x | a | y | b | x | c + | y | d where a , b , c , and d are positive numbers. Prove that if a c + b d > 1, then lim ( x,y ) (0 , 0) f ( x, y ) exists and equals zero. 4. Find the limit, if it exists, or show that the limit does not exist.
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: a) lim ( x,y ) → (0 , 0) | x |-| y | | x | + | y | . b) lim ( x,y ) → (0 , 0) x 2-3 | x |-3 | y | | x | + | y | . c) lim ( x,y ) → (0 , 0) x 5 y 2 x 10 + y 4 . d) lim ( x,y ) → (0 , 0) x 3 y 4 x 6 + y 6 . NOTE: Only * questions will be graded...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern