Find the Value of the Limit $\lim _ { x \rightarrow \infty } \left( \sqrt { x ^ { 2 } + x } - x \right)$

question 68

Multiple Choice

Find the value of the limit $\lim _ { x \rightarrow \infty } \left( \sqrt { x ^ { 2 } + x } - x \right)$

• A)
• \(- \frac { 1 } { 2 }\)
• B) \(\sqrt { 2 }\)
• C)
• \(- \sqrt { 2 }\)
• D) \(\frac { 1 } { 4 }\)
• E)
• \(\infty\)
• F) \(- \frac { 1 } { 4 }\)
• G)0
• H)\(\frac { 1 } { 2 }\)

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