Let `lim_(x->oo)xln(e(1+1/x)^(1-x))` equal `m/n` where m and n are relatively prime positive integ Find `(m+n)`.

lim_(x->oo)(1-x+x.e^(1/n))^n

Given that sum_(k=1)^35 sin5k^@ = tan(m/n)^@ , where m and n are relatively prime positive integers that satisfy (m/n)^@<90^@ , then m + n is equal to

Given that sum_(k=1)^(35)sin5k^(@)=tan((m)/(n))^(@), where m and n are relatively prime positive integers that satisfy ((m)/(n))^(@)<90^(@), then m+n is equal to

Let lim _( x to oo) n ^((1)/(2 )(1+(1 )/(n))). (1 ^(1) . 2 ^(2) . 3 ^(3)....n ^(n ))^((1)/(n ^(2)))=e^((-p)/(q)) where p and q are relative prime positive integers. Find the value of |p+q|.

int_(0)^(1)x^((m-1))(1-x)^((n-1))dx is equal to where m,n in N

lim_(xrarr1)(x^(m)-1)/(x^(n)-1) is equal to

lim_(xrarr1)(x^(m)-1)/(x^(n)-1) is equal to