What is the limiting value of the expression
`({(n +1) (n+2).....(2n)} ^(1/n))/(n) ` when n tends to infinity ?

Find the value of the following expressions when n = – 2. 5n – 2

The value of the limit when n tends to infinity of the expression (1+(1)/(n))^(n) is

The value of the limit when x tends to zero of the expression ([(1+x)^(n)-1])/(x) is

If the value of the sum n^(2) + n - sum_(k = 1)^(n) (2k^(3)+ 8k^(2) + 6k - 1)/(k^(2) + 4k + 3) as n tends to infinity can be expressed in the form (p)/(q) find the least value of (p + q) where p, q in N

If the value of the sum n^(2) + n - sum_(k = 1)^(n) (2k^(3)+ 8k^(2) + 6k - 1)/(k^(2) + 4k + 3) as n tends to infinity can be expressed in the form (p)/(q) find the least value of (p + q) where p, q in N

Find the value of the following expressions when n = – 2. n^3 + 5n^2 + 5n – 2

If ninNN , both expression n(n+1)(n+2) and n(n+1)(n+5) are multiple of -