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प्रश्न
State, by writing first four terms, the expansion of the following, where |x| < 1
`(1 + x)^(-1/5)`
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उत्तर
`(1 + x)^(-1/5)`
= `1 + (-1/5)x + ((-1/5)(-1/5 - 1))/(2!) x^2 + ((-1/5)(-1/5 - 1)(-1/5 - 2))/(3!) x^3 + ...`
= `1 - x/5 + (-1/5)(-6/5)(1/2)x^2 + (-1/5)(-6/5)(-11/5)(1/6)x^3 + ...`
= `1 - x/5 + (3x^2)/25 - (11x^3)/125 + ...`
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