Taylor series expansion of the function f(x) = x/(1 + x) around x = 0 will be Options: A . &nbsp1 + x + x2 + x3 + ... B . &nbsp1 - x + x2 - x3 + ... C . &nbsp0 + x + x2/2 + x3/3 + ... D . &nbsp0 + x - x2 + x3 - ...

Taylor series expansion of the function f(x) = x/(1 + x) around x = 0 will be

Question

Taylor series expansion of the function f(x) = x/(1 + x) around x = 0 will be

Options:

A . 1 + x + x2 + x3 + ...

B . 1 - x + x2 - x3 + ...

C . 0 + x + x2/2 + x3/3 + ...

D . 0 + x - x2 + x3 - ...

Answer: Option D

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