A) \[\frac{1+{{e}^{y}}}{3}\]
B) \[\frac{1-{{e}^{y}}}{3}\]
C) \[{{(1-{{e}^{y}})}^{1/3}}\]
D) \[{{(1-{{e}^{y}})}^{3}}\]
Correct Answer: C
Solution :
\[y=-\left\{ {{x}^{3}}+\frac{{{({{x}^{3}})}^{2}}}{2}+\frac{{{({{x}^{3}})}^{3}}}{3}+...... \right\}=\log (1-{{x}^{3}})\] \[\Rightarrow {{e}^{y}}=1-{{x}^{3}}\Rightarrow x={{(1-{{e}^{y}})}^{1/3}}\].
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