Prove: if limx→a f(x) = L, and c = R, then lim cf(x) = cL. D4-Z

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 39E
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Wksp 5 Q4

PLEASE PLEASE include labeled definition(AS IT APPLIES TO THE QUESTION), scratchwork, and proof

The next few problems deal with proving abstract properties of limits for functions.
In class, we did abstract properties of limits for sequences. The techniques are very
similar, but they must be applied to the definitions for limits of functions at a point.
. Prove: if limx→a f(x) = L, and c = R, then
lim cf(x) = cL.
Definition.
Scratch work.
Proof.
D4-Z
Transcribed Image Text:The next few problems deal with proving abstract properties of limits for functions. In class, we did abstract properties of limits for sequences. The techniques are very similar, but they must be applied to the definitions for limits of functions at a point. . Prove: if limx→a f(x) = L, and c = R, then lim cf(x) = cL. Definition. Scratch work. Proof. D4-Z
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