Question

porve that \lim_{x\rightarrow 0} \frac{\sqrt{2+x^2}-\sqrt{2-x^2}}{x^2} =\frac{1}{\sqrt{2}}

17 Mar 2018
Answer :
Word Count : 94

Given,

\lim_{x \to 0 } \frac{\sqrt{2+x^2} - \sqrt{2-x^2}}{x^2} = \frac{1}{\sqrt{2}}

LHS = \lim_{x \to 0 } \frac{\sqrt{2+x^2} - \sqrt{2-x^2}}{x^2}

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