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If f(x)=lim(n->oo)(3/2+[cosx](sqrt(...

If `f(x)=lim_(n->oo)(3/2+[cosx](sqrt(n^2+1)-sqrt(n^2-3n+1)))` where `[y]` denotes largest integer `lt=,` then identify the correct statement(s). (a)`lim_(n->oo)f(x)=0` (b) `lim_(n->pi/2)f(x)=(3pi)/4` (c)`f(x)=(3x)/2AAx in [0,pi/2]` (d) `f(x)=0AAx in (pi/2,(3pi)/2)`

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