- #1

- 6

- 0

*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 =)**