32. If `x+1/x=2` then `x^100 -1/x^100` is

If x+(1)/(x)=2, then x^(100)+(1)/(x^(100))=(i)0(ii)2(iii)1(iv)-1(v) none of these

If f(x) = 1+x + x^(2)/2 + …. + x^(100)/100 , then f^(')(1) is equal to

If f(x)=(x)/(1-x);x!=1 then f^(100)(x) is [where (fof (x)=f^(2)(x)]

If f(x) = (x ^(100))/( 100) +( x^(99))/( 99) +( x^(98))/( 98) +---+ (x^(2))/( 2) + x+1 then prove that f^(1) =100 f^(1) (0 )

The number of terms in (1+x)^(101)(1+x^(2)-x)^(100) is: