Without the application of L'HÃ´pital's rule, find numbers \(a\) and \(b\) such that

\[\large \lim _{ x\rightarrow 0 }{ \frac { \sqrt{ax+b}-2 }{x}}=1\]

Then, evaluate \(a+b\).

Problem credit: *Calculus: 6E, James Stewart*

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