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,n`epsilon`N . `lim_(x->oo)Q_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)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,(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_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_(k)=( (1 ,k), (0 ,1) ), k in N .Then (S_(2))^(n)(S_(x))^(-1) (where n in N) is equal to: (S_(k))^(-1) denotes the inverse of matrix S_(k)

S_(n) = (1+2+3+....+n)/( n) then S_(1)^(2) + S_(2)^(2) + S_(3)^(2) + ..... + S_(n)^(2) =

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