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Let a=underset(n=0)overset(infty)Sigma (...

Let `a=underset(n=0)overset(infty)Sigma (x^(3n))/((3n))!, b =underset(n=1)overset(infty)Sigma(x^(3n-2))/(3n-2)!` and
`C=underset(n=1)overset(infty)Sigma(x^(3n-1))/(3n-1)!` and w be a complex cube root of unity
Statement 1: a+b+c`=e^(x),a+bw+cw^(2)=e^(wx) and a+bw^(2)+cw=e^(w^(2))`
Statement 2: `a^(3)+b^(3)+C^(3)-3abc=1`

A

1

B

0

C

`-1`

D

`-2`

Text Solution

Verified by Experts

The correct Answer is:
A
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