Find a polynomial fit to approximate e^(-2x) = 3x^2 and find an approximation to a root near x=0.

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pramodpandey | College Teacher | (Level 3) Valedictorian

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Let us define f(x) as





`f^n(x)=(-2)^n e^(-2x)`

Expand in Taylor series about x=0 ,we have




`f(0)=0 ,f'(0)=-2,f''(0)=2 , zero`


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`are `




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