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consider two condition  and |x-2|<α on a real number x, where a is a positive...

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handsofgod | (Level 2) eNoter

Posted May 22, 2013 at 4:22 PM via web

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consider two condition  and |x-2|<α on a real number x, where a is a positive real number

i. the range of values of α such that |x-2|<α is a necessary condition for  is ???

2. the range of values α such that |x-2|<α is a sufficient condition for  is ???

3. the range of values of such that |x-2|<α is a sufficient condition for  is ???

 

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pramodpandey | College Teacher | (Level 3) Valedictorian

Posted May 22, 2013 at 4:44 PM (Answer #1)

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This defines a domain of f,

`x in (2-alpha,2+alpha)`

`(i)` Function defined in an open interval.

(ii) We can discuss continuity and differentiability in an open interval.

Please specify more about function thenmore detail answer possible.

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handsofgod | (Level 2) eNoter

Posted May 23, 2013 at 10:50 AM (Reply #1)

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consider two condition `x^2-3x-10`  and |x-2|<α on a real number x, where a is a positive real number
i. the range of values of α such that |x-2|<α is a necessary condition for `x^2-3x-10`  is (A)
2. the range of values α such that |x-2|<α is a sufficient condition for `x^2-3x-10`   is (B)

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