Use the formal definition of limits

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Homework Statement


Use The Formal definition of limits to show
attachment.php?attachmentid=39471&stc=1&d=1317483256.png


Homework Equations


The Formal definition of limits


The Attempt at a Solution



Tried to do it like this, but that was wrong. What do i need to do different?
attachment.php?attachmentid=39472&stc=1&d=1317483656.jpg
 

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What you wrote has little resemblance to a proof. A proof is an argument showing that some statement is true. First, you should identify what statement it is you're trying to prove. Second, and this is key, you need to write a coherent argument where it's logically clear how you started from the givens and reached the conclusion.

You may find this video helpful:

 
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Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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