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**s3a** 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.!