Limit of arctan function as x approaches infinity [Limits at infinity]

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In this video, I showed how evaluate the limit of arctan (x^2 + 1) as x goes to infinity using the shape of the graph.
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Prime Newtons is back and better than ever!

punditgi
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entertaining and informative! thank you.

ajreyes
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Please, how solve without L'Hopiral: lim( x->0) (x-sin(x))/(x^3)=1/6 ?

costelnica