Show that
C0−C1(1+nx1+x)+C2((1+nx)21+2x)−C3((1+nx)31+3x)+.........=0
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1 Answers
1.618
·May 8 '10 at 5:32
Check if i'm wrong anywhere..
∑r=0n(−1)rCrn(1+nx)r1+rx
= ∑r=0n(−1)r Crn(1+nx)r1 + ∑r=0n(−1)rrnCr−1n−1(1+nx)rrx
Solving further...we get,
(1−1+nx1)n−1+nxnx(1−1+nx1)n−1
Which gives,
(1+nxnx)n−(1+nxnx)n=0
I skipped a step