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