Solution
Multiplying numerator and denominator by $$\sqrt{\ 1+x}+\sqrt{\ 1-x}$$, we get:
$$\lim\ x\longrightarrow\ 0\ $$ $$\frac{\left(1+x\right)-\left(1-x\right)}{x\cdot\left(\sqrt{\ 1+x}+\sqrt{\ 1-x}\right)}$$
$$=\frac{2}{\left(\sqrt{\ 1+x}+\sqrt{\ 1-x}\right)}$$
Putting x = 0 now, we get
Result = 2/2 = 1
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