Limiting Limits

Calculus Level 2

If

limx10x310x225x+250x4149x2+4900=ab,\lim _{x\rightarrow 10} \frac{x^{3}-10x^{2}-25x+250}{x^{4}-149x^{2}+4900} = \frac{a}{b},

where aa and bb are coprime integers, what is a+b?a+b?

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