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Find the First Four Non-Zero Terms of the Taylor Series f(x)=exf ( x ) = e ^ { x }

Question 85

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

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