Use the Binomial Series Formula to Obtain the Maclaurin Series $f ( x ) = ( 1 + x ) ^ { 1 / 3 }$

question 221

Essay

Use the binomial series formula to obtain the Maclaurin series for $f ( x ) = ( 1 + x ) ^ { 1 / 3 }$ .

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Definitions:

Lanugo

Fine, soft hair that covers the body of a fetus, which is usually shed before birth.

Cleavage

A process of cell division in the early embryonic stage that leads to the formation of a multicellular embryo.

Morula

An early stage in embryonic development that follows fertilization, featuring a solid ball of cells resulting from the division of a zygote.

Gametogenesis

The process by which gametes, or sex cells, are formed, involving meiosis and maturation in reproductive organs.