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Question
Simplify first three terms in the expansion of the following
`(1 + 3x)^(-1/2)`
Solution
`(1 + 3x)^(-1/2) = 1 + (-1/2)(3x) + ((-1/2)(-1/2 - 1))/(2!) (3x)^2 + ...`
= `1 - (3x)/2 + (-1/2)(-3/2)(1/2)(9x^2) + ....`
= `1 - (3x)/2 + (27x^2)/8 + ...`
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