The value of lim x- x x- x x- x x- x - is

The correct option is C 1 Let y= x x+√( x ) #160; x+√( x )⋯∞ #160; = x x+ 1 x ^ 2 / 3 · x x+√( x )⋯∞ #160; #160; = x x+ y x ^ 2 / ...

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Rationalization Method to Remove Indeterminate Form

The value of ...

Question

The value of $lim x \to \infty ⎧ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎩ \frac{x}{x + \frac{\sqrt[3]{x}}{x + \frac{\sqrt[3]{x}}{x + \sqrt[3]{x}}} \dots} ⎫ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎬ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎭$ is

0

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1

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2

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\frac{1}{2}

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