Prove there does not exist a continuous function which maps the closed interval [0,1] onto the openinterval (0, 1).

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Answered: Prove there does not exist a continuous…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.4: Graphs Of Logarithmic Functions

Problem 60SE: Prove the conjecture made in the previous exercise.

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Prove there does not exist a continuous function which maps the closed interval [0, 1] onto the open interval (0, 1).