Teaching DSSSB TGT Mock Test 2025 Mathematical Science Analysis Sequences & Series (Convergence)

The series is \(\sum_{n =1}^{\infty} \frac{n^3+1}{(n+1)!}\) then which of the following is correct? 

1
Convergent series and cgs to 0
2
Convergent series and cgs to 2e
3
Convergent series and cgs to 2e -1
4
Divergent
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