一,e0.001的近似值是：二,lim(x→0)sin3x/x的极限三,lim(x→0)xsin1/x的极限
问题描述：
一,e0.001的近似值是：二,lim(x→0)sin3x/x的极限三,lim(x→0)xsin1/x的极限
答
1.e^x=1+x/1!+x^2/2!+x^3/3!+...
取x=0.001得
e^0.001=1+0.001+0.001^2/2!+0.001^3/3!+...
误差Rn=0.001^(n+1)/(n+1)!+0.001^(n+2)/(n+2)!+0.001^(n+3)/(n+3)!+...