Calculating Limit of Function – A quotient of functions with square roots – Exercise 5790

Exercise

Evaluate the following limit:

limx01+x1xx2+2\lim _ { x \rightarrow 0} \frac{\sqrt{1+x}-\sqrt{1-x}}{x^2+2}

Final Answer


limx01+x1xx2+2=0\lim _ { x \rightarrow 0} \frac{\sqrt{1+x}-\sqrt{1-x}}{x^2+2}=0

Solution

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