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10!+11!+12!+13!+14!+⋯=00!+11!+22!+33!+44!+⋯ \dfrac1{0!} + \dfrac1{1!} + \dfrac1{2!} + \dfrac1{3!} + \dfrac1{4!} + \cdots = \dfrac0{0!} + \dfrac1{1!} + \dfrac2{2!} + \dfrac3{3!} + \dfrac4{4!} + \cdots 0!1+1!1+2!1+3!1+4!1+⋯=0!0+1!1+2!2+3!3+4!4+⋯
Notation: !!! denotes the factorial notation. For example, 8!=1×2×3×⋯×88! = 1\times2\times3\times\cdots\times8 8!=1×2×3×⋯×8.
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