Let a1=1, an=n(a(n-1)+1) for n=2,3,... w...

Let `a_1=1`, `a_n=n(a_(n-1)+1)` for `n=2,3,...` where `P_n=(1+1/a_1)(1+1/a_2)(1+1/a_3)....(1+1/a_n)` then `lim_(nrarroo)P_n=`

A

e

B

`log_(e)2`

C

`e^(1//2)`

D

`log_(2)e`

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The correct Answer is:

A

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