Limits and algebraic simplification – math.stackexchange.com

Limits and algebraic simplification – math.stackexchange.com

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Please let me know what is wrong in the following algebraic simplification which gives a wrong limit value. $$\lim_{x \to \infty} (\sqrt {x^2 - 4x} - x)=\lim_{x \to \infty} (\sqrt {x^2 (1 - 4/x)} - ...

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