Russianal Limits

Calculus Level 1

If L=limx0x2+201422014x2+201522015 L=\displaystyle \lim_{x \rightarrow 0} \frac{\sqrt{x^{2} + 2014^{2}}-2014}{\sqrt{x^2+2015^{2}}-2015}, and LL can be represented in the form ab\dfrac{a}{b}, find aba-b. Ensure that aa and bb are relatively prime.

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