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Formula
Calculate the limit value
$\lim_{x \to \infty} \left(\frac{2x^{2}-2x-3}{x^{2}-1}\right)$
$2$
Find the limit value
$\lim\limits_{ \color{#FF6800}{ x } \to{ \infty } }{ \left( \color{#FF6800}{ \dfrac { \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } } { \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 1 } } } \right) }$
 Find the limit value 
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 0 } \color{#FF6800}{ + } \color{#FF6800}{ 0 } } { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 0 } } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 0 } \color{#FF6800}{ + } \color{#FF6800}{ 0 } } { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 0 } } }$
 Calculate the value 
$\color{#FF6800}{ 2 }$
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