[" Q.",Lt],[" 23"," nゥ oo "((1^(m)+2^(m)+3^(m)+...+n^(m))/(n^(m+1)))=]

{:(" "Lt),(n rarr oo):} ((1^(m)+2^(m)+3^(m)+.........+n^(m))/(n^(m+1)))=

lim_(n to oo){(1^(m)+2^(m)+3^(m)+...+ n^(m))/(n^(m+1))} equals

lim_( equals )(n rarr oo){(1^(m)+2^(m)+3^(m)+...+n^(m))/(n^(m+1))}

lim_(n rarr oo) {(1^(m)+2^(m)+3^(m)+…….+n^(m))/(n^(m+1))} equals

Evaluate: lim_(nrarroo)(1^(m)+2^(m)+3^(m)+...+n^(m))/(n^(m+1))(mgt-1)

tan^(-1)(m/n)+tan^(-1)((n-m)/(n+m))=?

Tan^(-1)(m/n)-Tan^(-1)((m-n)/(m+n))=

A function f is defined by f(x)=|x|^m|x-1|^nAAx in Rdot The local maximum value of the function is (m ,n in N), 1 (b) m^nn^m (m^m n^n)/((m+n)^(m+n)) (d) ((m n)^(m n))/((m+n)^(m+n))

If m >1,n in N show that 1^m+2^m+2^(2m)+2^(3m)+...+2^(n m-m)> n^(1-m)(2^n-1)^m

If m >1,n in N show that 1^m+2^m+2^(2m)+2^(3m)+....+2^(n m-m)> n^(1-m)(2^n-1)^mdot