if `lim_(x->oo) (1+1/(x(x+2)))^(x^3)(1+1/(x(x+4)))^(-x^3)` is equal to `e^n ` then `n` is equal to

If lim_(x rarr(oo) (1+(1)/(x(x+2)))^(x^(2))(1+(1)/(x(x+4)))^(-x^(2)) is equal to e^(n) then n is equal to

lim_(x->oo)((1^(1/x) +2^(1/x) +3^(1/x) +...+n^(1/x))/n)^(nx) is equal to

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

(lim_(xto oo) ((x+3)/(x+1))^(x+1) is equal to

If lim_(xrarr oo) (1+(a)/(x)-(4)/(x^2))^(2x)=e^3 , the a is equal to

If lim_(xrarr oo) (1+(a)/(x)-(4)/(x^2))^(2x)=e^3 , the a is equal to

lim_(xrarr oo) ((3x^2+2x+1)/(x^2+x+2))^((6x+1)/(3x+1)) , is equal to

lim_(xrarr oo) ((3x^2+2x+1)/(x^2+x+2))^((6x+1)/(3x+1)) , is equal to

If lim_(x->1)((x^n-1)/(n(x-1)))^(1/(x-1))=e^p , then p is equal to