Lim x- 0 a-x 2-3 - a 2-3 x

lim _ x→ 0 ( a+x ) #160; ^ 2/3 a ^ 2/3 x #160; = 0 0 Applying L Hospital's rule lim _ x→ 0 2 3 ( a+x ) #160; ^ 1/3 1 #160; = 2 ...

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Rationalization Method to Remove Indeterminate Form

lim x→ 0 a+x ...

Question

${lim}_{x \to 0} \frac{{(a + x)}^{2 / 3} - a^{2 / 3}}{x}$

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f (x) = \frac{\sqrt{a^{2} - a x + x^{2}} - \sqrt{a^{2} + a x + x^{2}}}{\sqrt{a + x} - \sqrt{a - x}}

${lim}_{x \to 0} \frac{(a + x)^{2} - a^{2}}{x}$

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