2. Show that following sequence of functions are convergence pointwise to its limit function. a) fn(x)= =,x € R cos(nx)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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2. Show that following sequence of functions are convergence pointwise to its limit function.
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a) fn(x) = =, x € R
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cos(nx)
b) fn(x) =
-, x € R
n
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c) fn(x) =
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