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?

Question

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The first four non-zero terms of the Taylor series at $x = 0$ of $f(x) = \ln(x + 1)$ are $x - \frac{x^2}{2} + \frac{x^3}{3} - \frac{x^4}{4}$.

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

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