I get how to find the limit by plugging in x = 0, evaluating what the limit is and and then taking y = 0 and evaluating what the limit is and if each limit is the same then the limit does exist and is that number. (Tell me if I am wrong in thinking this).
Using the methodology described above, I get the correct answer but the problem attached shows me a solution that I do not understand and would really appreciate it if someone could explain to it to me.
Basically, I would like to know if my way is correct and whether it is or not, I would like to understand this different way as well.
Thanks in advance!
Thank you both but especially SammyS that explanation was important to me and helps me realize that me getting the answer was just by coincidence and more.
I'm attaching the image now in the initial post.