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Let Sn=1+2+3++n and Pn=(S2)/(S2-1)dot(S...

Let `S_n=1+2+3++n` and `P_n=(S_2)/(S_2-1)dot(S_3)/(S_3-1)dot(S_4)/(S_4-1)...(S_n)/(S_n-1)` Where `n in N ,(ngeq2)dot` Then `("lim")_(n→oo)P_n=______`

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The correct Answer is:
`:.lim_(nto oo)P_(n)=lim_(ntooo)(3n)/(n+2)=3`
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