Question

=> Write down some important properties in binomial expansion for any index...

Answer 1

Important properties in binomial expression for any index:-

• If n is not any positive integer i.e , n is any negative or fraction, then factors n-1, n-2, n-3.. no one will be zero. So, number of terms in expansion will be infinite.
• This expansion is true only in that case when the numerical value of x is less than 1, but this condition is not valid for positive integers.
• if n is not positive integer, then coefficient of terms in expansion cannot be represented by n(C)0, n(C)1..So in expansion, coefficients are represented in terms of n.

__________________________________

HOPE IT HELPS YOU⭐