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" Q "5" .Show that for any number "x,lim...

" Q "5" .Show that for any number "x,lim_(n rarr oo)(x^(n))/(n!)=0

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

lim_(n rarr oo)(1+(x)/(n))^(n)

lim_(n rarr oo) (4^(n)+5^(n))^(1/n) =

lim_(n rarr oo) (4^(n)+5^(n))^(1/n) =

lim_(n rarr oo) (4^(n)+5^(n))^(1/n) =

lim_(n rarr oo)(sqrt(n+1)-sqrt(n))=0

lim_(x rarr oo) (1+2/n)^(2n)=

lim_(x rarr oo)((log x)/(x^(n)))

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