Limx - 1 - -x - 1-x2 - 1 - -x3 - 1

lim_x→ 1^+√(x 1)/√(x^2 1) + √(x^3 1) ⇒lim_x→ 1^+√(x 1)/√(x 1) [ √(x+1) + √(x^2+x+1) ] ⇒lim_x→ 1^+1/√(x+1) + √(x^2 + x + 1) ⇒1/√(2) + √(3) = ...

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Substitution Method to Remove Indeterminate Form

limx → 1 + √x...

Question

$lim x \to 1 + \frac{\sqrt{x - 1}}{\sqrt{x^{2} - 1} + \sqrt{x^{3} - 1}}$

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Solution

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