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Let f(x)=x +(1-x) x ^(2) +[1- x) (1- x^(...

Let `f(x)=x +(1-x) x ^(2) +[1- x) (1- x^(2)) +…..+ (1-x) …….(1-x ^(n-1))x ^(n),(n ge 4)` then:

A

`f (x) =-prod_(r=1)^(n) (1- n ^(r))`

B

`f (x)=1 -prod_(r =1)^(n)(1- x ^(r))`

C

`f (x) =(1 =f (x)) (prod _(r =1)^(n)(r x ^(r-1))/((1-x ^(r ))))`

D

`f '(x) =f (x) ((prod _(r =1) ^(n) (r x ^(r-4))/((1- x^(r))))`

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The correct Answer is:
B, C
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