Determine the Limit of the Sequence $a _ { n } = \frac { \sqrt { n + 1 } - \sqrt { n } } { \sqrt { n + 1 } + \sqrt { n } }$

question 322

Multiple Choice

Determine the limit of the sequence $a _ { n } = \frac { \sqrt { n + 1 } - \sqrt { n } } { \sqrt { n + 1 } + \sqrt { n } }$ .

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

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