求问第十一题应该怎么写,求具体过程 100
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f(x) =xe^x =>f(0) =0
f'(x)=(1+x)e^x =>f'(0)/1! =1
f''(x) =(2+x)e^x =>f''(0)/2! =1
f'''(x) =(3+x)e^x =>f'''(0)/3! =1/2
f''''(x)=(4+x)e^x =>f''''(0)/4! =1/6
f(x) =xe^x
= x +x^2 +(1/2)x^3 +(1/6)x^4 +.....
f'(x)=(1+x)e^x =>f'(0)/1! =1
f''(x) =(2+x)e^x =>f''(0)/2! =1
f'''(x) =(3+x)e^x =>f'''(0)/3! =1/2
f''''(x)=(4+x)e^x =>f''''(0)/4! =1/6
f(x) =xe^x
= x +x^2 +(1/2)x^3 +(1/6)x^4 +.....
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