Find the First Four Non-Zero Terms of the Taylor Series $f ( x ) = e ^ { - 2 x }$

question 120

True/False

Find the first four non-zero terms of the Taylor series at x = 0 of $f ( x ) = e ^ { - 2 x }$ .
Is $f ( x ) = 1 + 2 x + \frac { 4 x ^ { 2 } } { 2 ! } + \frac { 8 x ^ { 3 } } { 3 ! }$ correct?

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