$1! + 2! + . . . + n! < (n + 1)!$
This question has left me stumped for quite some time. I am not sure how to approach it. (I am really bad at induction).
2026-03-28 02:03:31.1774663411
Prove $1! + 2! + . . . + n! < (n + 1)!$ using mathematical induction
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$ 1! + 2! + \cdots + n! \le n! + n! + \cdots + n! = n\cdot n! < (n+1)\cdot n! = (n + 1)! $