Give an example where lim x → 0 ( f ( x ) + g ( x ) ) exists but neither lim x → 0 f ( x ) nor lim x → 0 g ( x ) exists.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 48E
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Give an example where lim x → 0 ( f ( x ) + g ( x ) ) exists but neither lim x → 0 f ( x ) nor lim x → 0 g ( x ) exists.

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