[" I Example "14" If "lim(a rarr oo)(1)/...

[" I Example "14" If "lim_(a rarr oo)(1)/(a)int_(0)^(oo)(x^(2)+ax+1)/(1+x^(4))*tan^(-1)((1)/(x))dx],[" equal to "(pi^(2))/(k)," where "k in N," then "k" equals to "],[[" (a) "4," (b) "8," (c) "16," (d) "32]]

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