Sequence And Series Question 562

Question: $ \frac{2}{1,!}{\log_{e}}2+\frac{2^{2}}{2,!}{{({\log_{e}}2)}^{2}}+\frac{2^{3}}{3,!}{{({\log_{e}}2)}^{3}}+…..\infty = $

Options:

A) 2

B) 3

C) 4

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

Sum = $ ({e^{2{\log_{e}}2}}-1)=4-1=3 $ .