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

http://img593.imageshack.us/img593/8351/mathimage.gif

thank you

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- April 26th 2011, 07:20 AMpaulineVerify the limit
Hi i didn't understand how i verify this limit:

http://img593.imageshack.us/img593/8351/mathimage.gif

thank you - April 26th 2011, 07:22 AMProve It
Since the function is continuous, just substitute x = 8...

- April 26th 2011, 02:07 PMHallsofIvy
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.