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Math Help - Verify the limit

  1. #1
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    Verify the limit

    Hi i didn't understand how i verify this limit:



    thank you
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  2. #2
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    Since the function is continuous, just substitute x = 8...
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  3. #3
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    That is, if the conditions of the problem allow you to assert that this is a continuous function! You might not have studied "continuos" functions yet or the point of this might be to show that x^(1/3) and x^{1/3}- 2 are continuous at x= 8.0

    If so, you will have to go back to the definition. Given epsilon> 0, how close to 8 must x be to guarentee that x^(1/3)- 2= 0?
    It might note help to note that (x^(1/3)- 2)(x^(2/3)+ 2x^(1/3)+ 4)= x- 8.
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