.I have some problems where I need to determine if the limits exist using the limit definition or limit laws. For the following 2 I think i can use the laws but would like to make sure:
Make y approach zero along the line and then it follows
at once that the limit doesn't exist.
I used the product rule splitting into 2 ie
This would give a limit of 0 times infinity = 0 respectively right?
Then the 2nd problem I thought I could handle the same way ie:
I thought i could solve it the same way, ie use the product rule with 2 equations f(x,y)=y and g(x,y) = 1/x giving
I still need to do the proofs now but would like to know if i''m on the right track in terms of at least getting the limits right?