`lim _(n->oo)n C_r(m/n)^r(1-m/n)^(n-r)=`

lim_(n to oo) sum_(r=1)^(n) (1)/(n)e^(r//n) is

The value of lim_(n to oo)sum_(r=1)^(n)(1)/(n)e^((r)/(n)) is -

lim_(n to oo) sum_(r=1)^(n) (1)/(n)e^(r//n) is

The value of lim_(n->oo)sum_(r=1)^(n)1/(5^n).^n C_r(sum_(t=0)^(r-1).^r C_t .3^t) is equal to

lim_ (n rarr oo) nC_ (r) ((m) / (n)) ^ (r) (1- (m) / (n)) ^ (nr) =

Evaluate lim_(n->oo)1/nsum_(r=n+1)^(2n)log_e(1+r/n)

lim_(n->oo)1/nsum_(r=1)^(2n)r/(sqrt(n^2+r^2)) equals

If f(x) is integrable over [1,2] then int_(1)^(2)f(x)dx is equal to (a) lim_(nto oo) 1/n sum_(r=1)^(n)f(r/n) (b) lim_(nto oo) 1/n sum_(r=n+1)^(2n) f(r/n) (c) lim_(nto oo) 1/n sum_(r=1)^(n)f((r+n)/n) (d) lim_(nto oo) 1/n sum_(r=1)^(2n)f(r/n)