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Binomial theprem and expansion 
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#1
Apr112, 11:07 AM

P: 56

(1+x)^n=1+nx/1!+(n(n1) x^2)/2!+⋯+ what are the last few terms of this ? I looked and tried but don't seem to get any text book answer for this.



#2
Apr112, 11:59 AM

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P: 26,148

hi rohan03!
(try using the X^{2} and X_{2} buttons just above the Reply box ) the binomial coefficients are symmetric (^{n}C_{r} = ^{n}C_{nr}), so it ends … + n(n1) x^{n2}/2! + nx^{n1}/1! + x^{n} 


#3
Apr112, 12:17 PM

P: 56

Thank you . Can I prove with the help of this :
(1+n)^{n} ≥ 5/2n^{n} 1/2n ^{n1} 


#4
Apr112, 12:18 PM

P: 56

Binomial theprem and expansion
and if yes  please guide on how



#5
Apr112, 03:12 PM

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P: 26,148

what do you get? 


#6
Apr112, 06:30 PM

Math
Emeritus
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PF Gold
P: 39,562

This was also posted under "homework" so I am closing this thread.



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