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Answer :
Lim x-> infinity of arctan(lnx)= arctan (infinity), because lnx-----> infinity when x ----> infinity
but arctan (infinity) = Pi/2, so Lim x-> infinity of arctan(lnx)= Pi/2
but arctan (infinity) = Pi/2, so Lim x-> infinity of arctan(lnx)= Pi/2
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