Limiting Limits

Calculus Level 2

If

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

where \(a\) and \(b\) are coprime integers, what is \(a+b?\)

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