Proof by Induction - Requires calculus

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[SOLVED] Proof by Induction - Requires calculus

I have recieved a question that i have been trying to do and requires a proof to prove that it is true. The question is here:

http://img401.imageshack.us/my.php?image=23688074ji0.png

I am having some trouble to prove this as at some stage u are required to use differentiation and integration however i do not know hw to accomplish this, could somebody help me get on the right track and start me off for this question as i am having moderate difficulty? thankyou
 

Answers and Replies

  • #2
mathman
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Start with expanding (1+x)n using the binomial theorem and get
1) (1+x)n=c0+c1x+......cnxn
Take the first derivative and get
2) n(1+x)n-1=c1+......ncnxn-1

Finally, let x=1 and add 1 and 2 together to get the desired result.
 
  • #3
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Please delete thread, thankyou
 
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