Using Calculus, We Can Show That This
Formula Can Be Used to Evaluate Binomial Expressions Raised

question 207

Multiple Choice

Using calculus, we can show that $$( 1 + x ) ^ { n } = 1 + n x + \frac { n ( n - 1 ) } { 2 ! } x ^ { 2 } + \frac { n ( n - 1 ) ( n - 2 ) } { 3 ! } x ^ { 3 } + \ldots , \text { for } | x | < 1$$ This
formula can be used to evaluate binomial expressions raised to noninteger exponents. Use the first four
terms of this infinite series to approximate the given expression. Round to 3 decimal places if necessary.
- $$( 1.3 ) ^ { 4 / 3 }$$

• A) 1.423
• B) 1.416
• C) 1.419
• D) 1.422

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