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If y=-{x^(3)+(x^(6))/(2)+(x^(9))/(3)+….}...

If `y=-{x^(3)+(x^(6))/(2)+(x^(9))/(3)+….}` then

A

`x^(3)=1-e^(y)`

B

`x=log_(e )(1+y)`

C

`x^(3)=e^(y)`

D

`x=1+e^(y)`

Text Solution

Verified by Experts

We have
`y=x^(3)+(x^(3))^(2)/(2)(x^(3))^(3)/(3)`+…
`rarr y=log_(e)(1-x^(3))rarre^(y)=1-x^(3)=1-e^(y)`
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