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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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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
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  2. Let f(x)=lim(n rarr oo)(2x^(2n)sin\ 1/x+x)/(1+x^(2n)) then find (a) li...

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

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  4. Let f(x)=(lim)(n->oo)(2x^(2n)sin1/x+x)/(1+x^(2n))\ then find :\ (lim)...

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  20. If f(x) is continuous in (-oo, 6), where f(x)={: {(1+sin ((pi x)/(2))...

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