Math  /  Calculus

QuestionFind the limit: limx0+x+11x\lim _{x \rightarrow 0^{+}} \frac{\sqrt{x+1}-1}{x}

Studdy Solution
Evaluate the limit as x approaches0 from the positive side.
120+1=12\frac{1}{2\sqrt{0+1}} = \frac{1}{2}The limit as x approaches0 from the positive side of x+11x\frac{\sqrt{x+1}-1}{x} is 12\frac{1}{2}.

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