对无穷幂级数:e^x=1+x+x^2/2!+x^3/3!+……+x^n/n!+……
=∑x^k/k!=(k=0,1,2,……),令x=1得:
e=∑1/k!(k=0,1,2,……)=1+1+1/2!+1/3!+1/4!+……
如取前五个得近似值e≈1+1+1/2+1/6+1/24≈2.71
对无穷幂级数:e^x=1+x+x^2/2!+x^3/3!+……+x^n/n!+……
=∑x^k/k!=(k=0,1,2,……),令x=1得:
e=∑1/k!(k=0,1,2,……)=1+1+1/2!+1/3!+1/4!+……
如取前五个得近似值e≈1+1+1/2+1/6+1/24≈2.71
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