Limits Plus: II

Calculus Level 3

Without the application of L'Hôpital's rule, find numbers aa and bb such that

limx0ax+b2x=1\large \lim _{ x\rightarrow 0 }{ \frac { \sqrt{ax+b}-2 }{x}}=1

Then, evaluate a+ba+b.


Problem credit: Calculus: 6E, James Stewart

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