Let f : A Rn R be given and let x0 be a boundary point of
Chapter , Problem 30(choose chapter or problem)
Let f : A Rn R be given and let x0 be a boundary point of A. We say that limitxx0 f (x) = if for every N > 0 there is a > 0 such that 0 < x x0 < and x A implies f (x) > N. (a) Prove that limitx1 (x 1)2 = . (b) Prove that limitx01/|x|=. Is it true that limitx01/x = ? (c) Prove that limit(x, y) (0,0)1/(x2 + y2) = .
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