Consider the graphs, shown below, of the functions f(x) (blue, first graph) and g(x) (red, second graph). Forwhich values of a E (-3,3) does lim(f(x) – g(x) not exist?2-2-11233-211-3-O a = -3, a = -2, a = 2 and a = 3O a = 2a =-2, a = 2 and a = 3O a = -2 and a = 2 The Squeeze Law states: Suppose that g(x) < f(x) < h(x) for all æ near a, and thatlim g(x)lim h(x) = L.xaThen lim f(x) exists and is equal to L.Consider the limita sine)lim x° sinWhat is a suitable choice for g(x) and h(x) to show that lim x° sin= 0?g(x) = -|æ|° and h(x) = |æ|°O g(x) = | – x|° and h(x) = |¤|°g(æ) = -| sin | and h(x) = | sin |g(x) = -x³ and h(x) = x³

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Answered: Consider the graphs, shown below, of…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.4: Logarithmic Functions

Problem 44E

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Consider the graphs, shown below, of the functions f(x) (blue, first graph) and g(x) (red, second graph). For which values of a E (-3,3) does lim(f(x) – g(x) not exist? -2 -1 2 3 -3 -2 1 1 -3- O a = -3, a = -2, a = 2 and a = 3 O a = 2 a = -2, a = 2 and a = 3 O a = -2 and a = 2