Question

Let f, g : [a, b) → B be functions. Prove that if there is a number S > 0 so that f and g are equal on the subset {z ∈ [a, b) : |z - b| < S} of [a, b), then the left limit of f at b exists iff the left limit of g at b exists and in this case we have lim f(z) = lim g(z).

Name: let f g a b b be functions prove that if there is a number s 0 so that f and g are equal on the subset z a b z b s of a b then the left limit of f at b exists iff the left limit of g at b ex 56008
Uploaded: 2021-12-30T17:04:03-08:00
Duration: 1 min 27 s
Channel: P Patel
Description: let f g a b b be functions prove that if there is a number s 0 so that f and g are equal on the subset z a b z b s of a b then the left limit of f at b exists iff the left limit of g at b ex 56008

          Let f, g : [a, b) → B be functions. Prove that if there is a number S > 0 so that f and g are equal on the subset {z ∈ [a, b) : |z - b| < S} of [a, b), then the left limit of f at b exists iff the left limit of g at b exists and in this case we have lim f(z) = lim g(z).

Added by Ruben G.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert P Patel

12/30/2021

Step 1

This means that lim (z→b-) f(z) exists. Show more…

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Let f, g : [a, b) → B be functions. Prove that if there is a number S > 0 so that f and g are equal on the subset {z ∈ [a, b) : |z - b| < S} of [a, b), then the left limit of f at b exists iff the left limit of g at b exists and in this case we have lim f(z) = lim g(z).