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Is the following summation larger than 4?
1!2!+2!3!+3!4!+…+99!100! \frac{ 1!} { 2!} + \frac{ 2!} { 3!} + \frac{ 3!} { 4!} + \ldots + \frac{ 99!} { 100!} 2!1!+3!2!+4!3!+…+100!99!
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