please give the binomial expansions for expressions with negative and fractional exponents
it's very urgent and important

Asked by damarlasumanjali | 27th Oct, 2014, 01:07: PM

Expert Answer:

B i n o m i a l space T h e o r e m space f o r space n e g a t i v e space a n d space r a t i o n a l space p o w e r s : open parentheses 1 plus x close parentheses to the power of n equals 1 plus n x plus fraction numerator n open parentheses n minus 1 close parentheses over denominator 2 factorial end fraction x squared plus fraction numerator n open parentheses n minus 1 close parentheses open parentheses n minus 2 close parentheses over denominator 3 factorial end fraction x cubed plus.... comma space T h e space a b o v e space b i n o m i a l space s e r i e s space i s space v a l i d space f o r space a n y space r e a l space n u m b e r space n comma space i f space open vertical bar x close vertical bar less than 1

Answered by Vimala Ramamurthy | 28th Oct, 2014, 09:19: AM