Calculus

find the limit(if it exists), if not explain why.

lim
x--> 4- (3[[x]]-5)

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  1. can't make out your limit expression

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  2. limit as x-->4- (from the left) of

    (3[[x]]-5)

    [[absolute value.]]

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  3. In any limit, one of the first things you should do is simply substitute.
    If you get a real answer, that is your answer, you are done!

    so
    Lime 3|x| - 5 as x ---> 4 -
    = 3(4)-5 = 7

    Try a value near 4 from the left
    e.g. x = 3.9999
    then 3|3.9999|-5 = 6.9997 , yup, close enough for 7

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