不是,是120,如图,步骤太多了,肯定有简便步骤,但是这样做也没错
f(x)=e^(x^2)=1+x^2+x^4/2+x^6/6+......=f(0)+f'(0)x/1!+f''(0)x^2/2!+f'''(0)x^3/3!+f''''(0)x^4/4!+f'''''(0)x^5/5!+f(6)(0)x^6/6!+......根据台劳展式的唯一性,f(6)(0)/6!=1/6, f(6)(0)=4*5*6=120应该没有错,
1,答案是1