Tuesday, 1 October 2013

Finding limit (or rather simplifying) a specific function

Finding limit (or rather simplifying) a specific function

The question is asking to find the limit of $$\frac{\sqrt{1+x} -
\sqrt{1-x}}{x}$$ when x = 0. If we plug x into the equation, both the
denominator and numerator become 0 so I have to simplify the equation
somehow. The answer according to the textbook is 1 although I have no clue
as to how I would get that answer myself. Any hints are greatly
appreciated!

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