Unformatted text preview: harder to think about than looking at every sequence converging to −→ 0 . The deFnition of limits in terms of δ ’s and ε ’s, which we downplayed in the context of single variable calculus, is a much more useful tool in the context of functions of several variables. Remark 3.1.6. ( εδ Defnition oF limit:) ±or a Function f ( −→ x ) defned on a set D ⊂ R 3 with −→ x an accumulation point oF D , the Following conditions are equivalent: 1. ±or every sequence { −→ x k } oF points in D distinct From −→ x , f ( −→ x k ) → L ; 3 The preceding argument assumes m n = 0. What happens if m = 0?...
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 Fall '08
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 Calculus, Continuous function, Limit of a function, mx

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