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# Test2Guide - Let ∅ ≠ D ⊆ R D is said to be convex if...

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Unformatted text preview: Let ∅ ≠ D ⊆ R. D is said to be convex if 2200 a,b ∈ D, the line segment connecting and is contained in D. Let ∅ ≠ D ⊆ R. D is said to be connected if 2200 , ∈ D, 5 φ : [0,1] → D such that φ (0) = , φ (1) = Let D ≠ ∅ . , x ∈ D. f is continuous at x if 2200 {a n } → x , a n ∈ D, {f(x n )} → f(x ). Let D ≠ ∅ . , x ∈ D. f is continuous at x if 2200ε > 0, 5δ such that if | x – x | < δ , x ∈ D, | f(x) – f(x )| < ε Let ∅ ≠ D ⊆ R. . is said to be uniformly continuous on D if 2200 {u n },{v n } ∈ D if {u n - v n } → 0, then | (u n ) – (v n ) | → Let ∅ ≠ D ⊆ R. . is said to be uniformly continuous on D if 2200ε > 0, 5δ such that if | x – y | < δ , x,y ∈ D, |f(x) – f(y)| < ε Let O ⊆ R. O is said to be open if for any r ∈ O, 5ε > 0 such that (r- ε , r+ ε ) ⊆ O Let D ⊆ R. O i , i ∈ I, be open. If D ⊆ , then is an open cover of D....
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Test2Guide - Let ∅ ≠ D ⊆ R D is said to be convex if...

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