Limits Plus: II

Calculus Level 3

Without the application of L'Hôpital's Rule, find numbers $$a$$ and $$b$$ such that

$$\lim _{ x\rightarrow 0 }{ \frac { \sqrt{ax+b}-2 }{x}}=1$$.

Then, evaluate $$a+b$$.

Problem credit: Calculus: 6E, James Stewart

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