Question #4d075

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Answer 1 · 2017-07-11T16:25:37

Rewrite the function as follows

#f(x)=x*(1-sqrtx/x)=x*(1-1/sqrtx)#

Because #lim_(x->oo) 1/sqrtx=0#

we have that

#lim_(x->oo) f(x)=lim_(x->oo) x*(1-1/sqrtx)=oo*(1-0)=+oo#

Answer 2 · 2017-07-11T16:27:11

#lim_(x->oo) f(x)=oo#

graph{x-(sqrtx) [-16.15, 15.89, -4.17, 11.85]}

#lim_(x->oo) f(x)=oo#

As #x# approaches #oo#, #f(x)# approaches #oo#.