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lim(x rarr oo)(cot^(-1)x)/(cosec^(-1)x)=...

lim_(x rarr oo)(cot^(-1)x)/(cosec^(-1)x)=

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The lim_(x rarr oo)(cot^(-1)(x^(-a)log_(a)x))/(sec^(-1)(a^(x)log_(x)a)),a>0,a!=1 is equal to