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hi guys , using this definition for limits in higher dimensions : lim (x,y)→(a,b) f(x, y)...

hi guys , using this definition for limits in higher dimensions :

lim (x,y)→(a,b) f(x, y) = L

if 1. ∃r > 0 s.th. f(x, y) is defined when 0 < || (x, y) − (a, b) || < r

and 2. given ε > 0 we can find δ > 0 s.th. 0 < || (x, y) − (a, b) || < δ =⇒ | f(x, y) − L | < ε

how do i show that this is true :

lim (x,y)→(0,0) (3x − y) ^4 + 2x^2 + 2y^2 /  x ^2 + y^2  = 2.

could you please use the formal limit definition above ?

Thank

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For any doubt please let me know in comment box. Thank you

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