1.

If `f(x)=sum_(r=0)^(20) .^(20)C_(r) (In (1+x))^(r),g(x)=sum_(r=0)^(20)(-1)^(r).^(20)C_(r)(1+3sinx)^(20-r)` then,A. `sum_(r=0)^(oo)(g(pi//6))^(r)=(6^(20))/(2^(20)-1)`B. `sum_(r=0)^(oo)(g(pi//6))^(r)=(6^(30))/(2^(20)-1)`C. If `h (x)=[f(x)]^(1//20)` then `sum_(r=0)^(oo) [h(x^(2^(r)))-1]` (where `|x|lt1)=-In(1-x)`D. `h(x)=[f(x)]^(1//20)` then `sum_(r=0)^(oo) [h(x^(2^(r)))-1]` where `|x|lt1)=In(1-x)`

Answer» Correct Answer - A::C
ac


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