Consider the function f(x) = X n 1+nx - if n < x < n + 1 for n even if n < x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 51E
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Consider the function
f(x) =
X
n
1+nx
if n < x < n + 1 for n even
if n < x <n+ 1 for n odd
(a) Sketch a graph of f(x).
(b) Prove that f(x) is continuous everywhere on R.
Transcribed Image Text:Consider the function f(x) = X n 1+nx if n < x < n + 1 for n even if n < x <n+ 1 for n odd (a) Sketch a graph of f(x). (b) Prove that f(x) is continuous everywhere on R.
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