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Let f(x)=lim(n->oo)(2x^(2n)sin(1/x)+x...

Let `f(x)=lim_(n->oo)(2x^(2n)sin(1/x)+x)/(1+x^(2n))` then find (a) `lim_(x->oo) xf(x)` (b) `lim_(x->1) f(x)` (c) `lim_(x->0) f(x)` (d) `lim_(x->-oo) f(x)`

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