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Continuity of Functions

Home Calculus Continuity of Functions Exercises Extreme Value Theorem Exercises

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Exercises
Continuity at a Point via Formulas
Continuity on an Interval via Pictures
Continuity on an Interval via Formulas
Continuity on Closed and Half-Closed Intervals
The Informal Version
The Formal Version
Boundedness
Extreme Value Theorem
Intermediate Value Theorem

Table of Contents

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Page (1 of 5) Exercises: 1 2 3 4 5

Exercise 1

Consider the function f(x) = 2cos(x) + 1 on the interval [-2π, 2π]:

What is the maximum value of the function f on this interval?

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