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If L=limx→0x2+20142−2014x2+20152−2015 L=\displaystyle \lim_{x \rightarrow 0} \frac{\sqrt{x^{2} + 2014^{2}}-2014}{\sqrt{x^2+2015^{2}}-2015}L=x→0limx2+20152−2015x2+20142−2014, and LLL can be represented in the form ab\dfrac{a}{b}ba, find a−ba-ba−b. Ensure that aaa and bbb are relatively prime.
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