The More The Merrier

Calculus Level 1

lim(x,y,z)(0,0,0)ex2y2z21x2+y2+z2=?\large\displaystyle\lim_{(x,y,z) \to (0,0,0)} \dfrac{e^{-x^{2} - y^{2} - z^{2}} - 1}{x^{2} + y^{2} + z^{2}} =\, ?

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