I can't get this problem right and it's part of a web-based assignment that I have to submit. In order to get credit for the problem, all of my answers need to be right; Ive tried many different times and I cant seem to figure out what I am doing wrong. Here it is with my explanations as to why I think I'm right; please, can someone find my mistake?(adsbygoogle = window.adsbygoogle || []).push({});

Find the following limits. If a limit diverges to infinity, state your answer as "INF" (without the quotation marks). If it diverges to negative infinity, state your answer as "MINF".If it diverges without being infinity or negative infinity, state your answer as "DIV".

lim(x,y)->(0,0) (3x^2 + y^2)/(x^4 + 5 y^4)

= DIV

Limit does not exist because if I try to go through different paths, I get different limits.

lim(x,y)->(0,3) ysin(x)/x

= 3

by separating the two functions y & sin(x)/x and evaluating them seperately

lim(x,y)->(5,0) (3x + ln(1+xy) ) / (1+x+y)

=15/6

just by plugging in the values (function is continuous everywhere)

lim(x,y)->(0,0) (x^2 * y^2) / (x^4 + 5y^4)

= DIV

Limit does not exist once again because of different paths I took = different limits

Thanks a lot =)

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# Homework Help: Multivariable Limits assignment

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