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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