🗊Презентация Irrational Numbers

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Irrational Numbers, слайд №1Irrational Numbers, слайд №2Irrational Numbers, слайд №3Irrational Numbers, слайд №4Irrational Numbers, слайд №5Irrational Numbers, слайд №6Irrational Numbers, слайд №7Irrational Numbers, слайд №8Irrational Numbers, слайд №9Irrational Numbers, слайд №10Irrational Numbers, слайд №11Irrational Numbers, слайд №12Irrational Numbers, слайд №13Irrational Numbers, слайд №14Irrational Numbers, слайд №15Irrational Numbers, слайд №16Irrational Numbers, слайд №17Irrational Numbers, слайд №18Irrational Numbers, слайд №19
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Irrational Numbers, слайд №1
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Irrational Numbers
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Irrational Numbers

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Question 1. The Dirichlet function is defined Question 1. The Dirichlet function is defined
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Question 1. The Dirichlet function is defined Question 1. The Dirichlet function is defined

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Irrational Numbers, слайд №4
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Irrational Numbers, слайд №5
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Question 2. The numbers and are irrational. Show that the number Question 2. The numbers and are irrational. Show that the number
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Question 2. The numbers and are irrational. Show that the number Question 2. The numbers and are irrational. Show that the number

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Contradiction!!! Contradiction!!!
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Contradiction!!! Contradiction!!!

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Question 3. Let Question 3. Let
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Question 3. Let Question 3. Let

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Irrational Numbers, слайд №9
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Question. Which of the following conditions imply that a real number x is rational? Question. Which of the following conditions imply that a real number x is rational? I. is rational II. x2 and x5 are rational III. x2 and x4 are rational a) I only b) II only c) I and II only d) I and III only e) II and III only
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Question. Which of the following conditions imply that a real number x is rational? Question. Which of the following conditions imply that a real number x is rational? I. is rational II. x2 and x5 are rational III. x2 and x4 are rational a) I only b) II only c) I and II only d) I and III only e) II and III only

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Let now x2 and x5 be rational: Let now x2 and x5 be rational:
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Let now x2 and x5 be rational: Let now x2 and x5 be rational:

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Irrational Numbers, слайд №12
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Question 1. Show that is irrational. Question 1. Show that is irrational.
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Question 1. Show that is irrational. Question 1. Show that is irrational.

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Irrational Numbers, слайд №14
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Irrational Numbers, слайд №15
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Higher derivatives
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Higher derivatives

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Question 5. Find the n-th derivative of the function Question 5. Find the n-th derivative of the function
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Question 5. Find the n-th derivative of the function Question 5. Find the n-th derivative of the function

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Irrational Numbers, слайд №18
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Irrational Numbers, слайд №19
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