Mathematics, 16.02.2021 18:40, hectorgonzalejr333

Let x, a, δ ∈ R with δ > 0. Show that the following two statements are equivalent. (a) |x − a| < δ
(b) a − δ < x < a + δ
Hint: Distinguish between the cases x − a ≥ 0 and x − a < 0.

Let x, a, δ ∈ R with δ > 0. Show that the following two statements are equivalent.

(a) |x − a|

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Let x, a, δ ∈ R with δ > 0. Show that the following two statements are equivalent. (a) |x − a| &...