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

Question 120

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Find the first four non-zero terms of the Taylor series at x = 0 of f(x)=e−2xf ( x ) = e ^ { - 2 x } .
Is f(x)=1+2x+4x22!+8x33!f ( x ) = 1 + 2 x + \frac { 4 x ^ { 2 } } { 2 ! } + \frac { 8 x ^ { 3 } } { 3 ! } correct?

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