The limit of the function f as x approaches a is the number L, written as limx→af(x) = L, if for every ε > 0, there exists δ > 0, such that if 0 < | x - a | < δ, then | f(x) - L | < ε. Using this definition, prove that limx→1+ 4 / (1-x) = -∞.

The limit of the function f as x approaches a is the number L, written as limx→af(x) = L, if for every ε > 0, there exists δ > 0, such that if 0 < | x - a | < δ, then | f(x) - L | < ε. Using this definition, prove that limx→1+ 4 / (1-x) = -∞.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.1: Polynomial Functions Of Degree Greater Than

Problem 35E

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Question

The limit of the function f as x approaches a is the number L, written as lim_x→af(x) = L, if for every ε > 0, there exists δ > 0, such that if 0 < | x - a | < δ, then | f(x) - L | < ε.