Mathematics 1 Deneme Sınavı Sorusu #1262024

What is the value of the limit;

lim(x,y)›(0,0)  (5x²+y²) / (x²+y²)=?


-5

0

2

5

does not exist.


Yanıt Açıklaması:

y=kx,

(5x²+k²x²) / (x²+k²x²)=x²(5+k²) / x²(1+k²)=(5+k²) / (1+k²).

By the way we have an answer depending on k, the limit does not exist.

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