Please can i have a written stepby step working. also for this question to not be shown to others Can you find a continuous function f : [0, 1] → R such that for all c> 0 thereexists x = [0, 1] such that|f(x)| > c?Justify your answer.

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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For the following questions, THERE IS NO NEED FOR EXPLANATION. PLEASE PROVIDE JUST THE ANSWER THANK YOU. Please DO NOT waste time on writing things to explain. Please answer in 30 mintues or else I will write a bad review. If you follow my rules and answer in less than 30 mintues then I will write a very long and wonderful review about you. ANSWER the questions correlty and please answer all the questions with what it regards in saying exactly. Ive read the guide lines and honor code that i can have up to Submit only one question at a time under the appropriate subject. A question can have up to 3 subparts (i.e. part a, b, and c). If you dont belive me here is the link of barthleby saying exactly that thanks: https://bartleby.zendesk.com/hc/en-us/articles/360017462394-How-can-I-ensure-my-questions-get-answered-as-quickly-as-possible-
For the following questions, THERE IS NO NEED FOR EXPLANATION. PLEASE PROVIDE JUST THE ANSWER THANK YOU. Please DO NOT waste time on writing things to explain. Please answer in 30 mintues or else I will write a bad review. If you follow my rules and answer in less than 30 mintues then I will write a very long and wonderful review about you. ANSWER the questions correlty and please answer all the questions with what it regards in saying exactly.
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For the following questions, THERE IS NO NEED FOR EXPLANATION. PLEASE PROVIDE JUST THE ANSWER THANK YOU. Please DO NOT waste time on writing things to explain. Please answer in 30 mintues or else I will write a bad review. If you follow my rules and answer in less than 30 mintues then I will write a very long and wonderful review about you. ANSWER the questions correlty and please answer all the questions with what it regards in saying exactly. Ive read the guide lines and honor code that i can have up to Submit only one question at a time under the appropriate subject. A question can have up to 3 subparts (i.e. part a, b, and c). If you dont belive me here is the link of barthleby saying exactly that thanks: https://bartleby.zendesk.com/hc/en-us/articles/360017462394-How-can-I-ensure-my-questions-get-answered-as-quickly-as-possible-
That is the first answer I got and it was also marked as incorrect. I am not sure why. I also tried the rounded version and it didn't work.

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Can you find a continuous function f : [0, 1] → R such that for all c> 0 there exists x = [0, 1] such that |f(x)| > c? Justify your answer.