Find the First Four Non-Zero Terms of the Taylor Series $f ( x ) = \ln ( x + 1 )$

question 55

True/False

Find the first four non-zero terms of the Taylor series at x = 0 of $f ( x ) = \ln ( x + 1 )$ .
Is $f ( x ) = x + \frac { x ^ { 2 } } { 2 ! } + \frac { 2 x ^ { 3 } } { 3 ! } + \frac { 6 x ^ { 4 } } { 4 ! }$ correct?

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Definitions:

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Coils of wire in electrical devices, such as motors and generators, that generate magnetic fields when current flows through them or induce current when they rotate in a magnetic field.

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The difference in electric potential between two points, expressed in volts.

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Machines that convert electrical energy into mechanical energy, commonly used for driving machinery.

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