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" 50."lim(n rarr oo)(e^(1/n)+e^(2/n)+e^(...

" 50."lim_(n rarr oo)(e^(1/n)+e^(2/n)+e^(3/n)+...+e^(n/n))/(n)

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lim_(n rarr oo)(2^(n)+3^(n))^(1/n)

lim_(n rarr oo)(e^(2n)(n!)^(2))/(2n^(2n+1))

lim_(n rarr oo)nln( e(1+(1)/(n))^(1-n))

lim_(x rarr oo)(1-x+x*e^((1)/(n)))^(n)

" (e) "lim_(n rarr oo)[(n!)/(n^(n))]^(1/n)

If P=lim_(n rarr oo)(ea^(2)*e^(3)a^(4)...e^(n-1)a^(n))^((1)/(n^(2)+1)) then P^(4) equals

Lt_(n rarr oo)(1)/(n)[e^((1)/(n))+e^((2)/(n))+....+e^((n)/(2))]

lim_(n rarr oo)((1)/(n^(2))+(2)/(n^(2))+(3)/(n^(2))+...+(n)/(n^(2)))