Find the First Four Terms of the Binomial Series for the Given

question 150

Multiple Choice

Find the first four terms of the binomial series for the given function.
- $$( 1 + 5 x ) ^ { 1 / 2 }$$

• A) \(1 + \frac { 5 } { 2 } x - \frac { 25 } { 8 } x ^ { 2 } + \frac { 125 } { 32 } x ^ { 3 }\)
• B) \(1 - \frac { 5 } { 2 } x + \frac { 25 } { 8 } x ^ { 2 } - \frac { 125 } { 32 } x ^ { 3 }\)
• C) \(1 + \frac { 5 } { 2 } x - \frac { 25 } { 8 } x ^ { 2 } + \frac { 125 } { 16 } x ^ { 3 }\)
• D) \(1 - \frac { 5 } { 2 } x + \frac { 25 } { 8 } x ^ { 2 } - \frac { 125 } { 16 } x ^ { 3 }\)

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