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

Question 55

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Find the first four non-zero terms of the Taylor series at x = 0 of f(x)=ln(x+1)f ( x ) = \ln ( x + 1 ) .
Is f(x)=x+x22!+2x33!+6x44!f ( x ) = x + \frac { x ^ { 2 } } { 2 ! } + \frac { 2 x ^ { 3 } } { 3 ! } + \frac { 6 x ^ { 4 } } { 4 ! } correct?

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