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")_(xvecoo)P_n=______`

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=______

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=______

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

Let S_(n)=1+2+3+...+n and P_(n)=(S_(2))/(S_(2)-1)*(S_(3))/(S_(3)-1)*(S_(4))/(S_(4)-1)...(S_(n))/(S_(n)-1) Where n in N,(n>=2). Then lim_(x rarr oo)P_(n)=

Let S_(n)=1+2+3+...+n " and " P_(n)=(S_(2))/(S_(2)-1).(S_(3))/(S_(3)-1).(S_(4))/(S_(4)-1)...(S_(n))/(S_(n)-1) , where n inN,(nge2) Then underset(ntooo)limP_(n) =__________.

Let S_(n)=1+2+3+...+n " and " P_(n)=(S_(2))/(S_(2)-1).(S_(3))/(S_(3)-1).(S_(4))/(S_(4)-1)...(S_(n))/(S_(n)-1) , where n inN,(nge2) Then underset(ntooo)limP_(n) =__________.

Let S_(k)=1+2+3+....+k and Q_(n)=(S_(2))/(S_(2)-1)*(S_(3))/(S_(3)-1)...(S_(n))/(S_(n)-1) where k,nvarepsilon N*lim_(x rarr oo)Q_(n)=

S_(n+3)-3S_(n+2)+3S_(n+1)-S_(n)=0

If S_(n) denotes the sum of first n terms of an A.P., then (S_(3n)-S_(n-1))/(S_(2n)-S_(n-1)) is equal to

If S_(n) , denotes the sum of first n terms of a A.P. then (S_(3n)-S_(n-1))/(S_(2n)-S_(2n-1)) is always equal to