Factorials are large.

Calculus Level 2

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!}

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