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Evaluate the following limit : lim(x→∞) (√(4x^2 - 7x + 2x))

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Evaluate the following limit : \(\lim\limits_{\text x \to \infty}(\sqrt{4\text x^2-7\text x}+2\text x)\)

lim(x→∞) (√(4x2 - 7x) + 2x)

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Rationalizing the numerator, we get

Taking x as common from both numerator and denominator,

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