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Evaluate lim(xtooo) (sqrt(x^(2)+1)-root(...

Evaluate `lim_(xtooo) (sqrt(x^(2)+1)-root(3)(x^3+1))/(root(4)(x^(4)+1)-root(5)(x^(4)+1))`

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To evaluate the limit \[ \lim_{x \to \infty} \frac{\sqrt{x^2 + 1} - \sqrt[3]{x^3 + 1}}{\sqrt[4]{x^4 + 1} - \sqrt[5]{x^4 + 1}}, \] we will simplify the expression step by step. ...
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