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Step-by-step explanation:
since the numerator and denominator go to zero as x goes to zero
we obtain the limit we differentiate numerator and denominator and take the limit.
differentiating the numerator we get
(1/2)(1+x)^(-1/2) +(1/2(1-x)^(-1/2) goes to 1
since dx/dx = 1
we get the limit as 1/1 = 1
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