Pre-calc again

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lim Square root of (x)- 3 over x-9
x->9


thanks.

  • Pre-calc again -

    [x^.5 -3] / (x-9) is of course 0/0 so use
    derivative of top/derivative of bottom
    = [.5 x^-.5 ] /1
    = as x-->9
    [.5/3 ]/1
    = .16666666666666.......
    check
    let x = 8.9
    x^.5 -3 = -.0167
    8.9-9 = -.1
    ratio = .167
    let x = 8.99
    x^.5 - 3 = -.00167
    8.99 - 9 = .01
    ratio = .167
    sure enough

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