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Math Help - Maximum and minimum value

  1. #1
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    Maximum and minimum value

    Show that the function f(x) = 1/squareroot(x) has neither the maximum value or the minimum value on (1,2).

    maximum: lim f(x) as x-> 0 = infinity which is not in (1,2).
    minimum: lim f(x) as x-> infinity = 0 which is not in (1,2).

    Is this correct?
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by tbyou87 View Post
    Show that the function f(x) = 1/squareroot(x) has neither the maximum value or the minimum value on (1,2).

    maximum: lim f(x) as x-> 0 = infinity which is not in (1,2).
    minimum: lim f(x) as x-> infinity = 0 which is not in (1,2).

    Is this correct?
    i doubt it. i believe they are talking about the local max and min, as in, where the slope is zero, as in, find the derivative and show that it is never zero, particularly not in that interval
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