Limit as x approaches 0 of (square root(4+x^4)-2)/x^4)

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limit as x approaches 0 of (square root(4+x^4)-2)/x^4)
it says to solve algebraically by rationalizing the numerator
 
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To rationalize it multiply numerator and denominator by sqrt(4+x^4)+2. Use (a+b)*(a-b)=a^2-b^2.
 
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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