A) 28
B) 30
C) 25
D) 0
Correct Answer: A
Solution :
\[S={{\log }_{e}}3+\frac{{{({{\log }_{e}}3)}^{2}}}{2!}+\frac{{{({{\log }_{e}}3)}^{3}}}{3!}+........+3{{\log }_{e}}3+\frac{{{(3{{\log }_{e}}3)}^{2}}}{2!}+\frac{{{(3{{\log }_{e}}3)}^{3}}}{3!}+....\] \[=({{e}^{{{\log }_{e}}3}}-1)+({{e}^{3{{\log }_{e}}3}}-1)=(3-1)+({{3}^{3}}-1)=28\].
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