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`lim_(x->oo) (x^2)*(arctan(x+1)+arctan(x))`

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melanthe | Student, Undergraduate | eNotes Newbie

Posted June 14, 2013 at 8:56 PM via web

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`lim_(x->oo) (x^2)*(arctan(x+1)+arctan(x))`

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embizze | High School Teacher | (Level 1) Educator Emeritus

Posted June 14, 2013 at 9:21 PM (Answer #1)

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Find `lim_(x->oo) x^2*("arctan"(x+1)+"arctan"(x))` :

`lim_(x->oo)x^2=oo`

`lim_(u->oo) "arctan"u=pi/2`

So we have `oo*(pi/2+pi/2)=oo`

Thus `lim_(x->oo)x^2*("arctan"(x+1)+"arctan"(x))=oo`

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melanthe | Student , Undergraduate | eNotes Newbie

Posted June 15, 2013 at 3:02 PM (Reply #1)

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