Concept explainers
Let
(a) Show that f(x, y) → 0 as (x, y) → (0, 0) along any path through (0, 0) of the form y = mxa with 0 < a < 4.
(b) Despite part (a), show that f is discontinuous at (0, 0).
(c) Show that f is discontinuous on two entire curves.
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Calculus: Early Transcendentals, Loose-leaf Version, 9th
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