Use the definition of continuity at a point to determine if f(x) = (x+2x')' iscontinuous at x =1. Need to satisfy three criteria!

Answered: a nuty at a pol eed to satisfy three cr

Math

Calculus

a nuty at a pol eed to satisfy three cr

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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Question

Use the definition of continuity at a point to determine if f(x) = (x+2x')' is
continuous at x =1. Need to satisfy three criteria!

Expert Solution

Step 1

Continuity:

$f (x) = {(x + 2 x^{3})}^{4} t h e f u n c t i o n f (x) w i l l b e c o n t i n u o u s a t x = 1 i f {\overset{l i m}{x \to 1 +}}^{f (x)} = {\overset{l i m}{x \to 1 -}}^{f (x)} R . H . L = L . H . L$

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