`lim_(x -> oo) sqrt(x^2 - 1)/(2x - 1)` Find the limit.

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Chapter 3, 3.5 - Problem 31 - Calculus of a Single Variable (10th Edition, Ron Larson).
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hkj1385 | (Level 1) Assistant Educator

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`lim_(x->oo) sqrt(x^2 - 1)/(2x-1)`

`or, lim_(x->oo) sqrt{(x^2/x^2)-(1/x^2)}/{((2x)/x)-(1/x)}`

`or, lim_(x->oo) sqrt(1-0)/(2-0) = sqrt(1)/2 = 1/2`

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