Sequence And Series Question 192
Question: The value of $ 1-\log 2+\frac{{{(\log 2)}^{2}}}{2,!}-\frac{{{(\log 2)}^{3}}}{3,!}+…. $ is
[MP PET 1998; Pb. CET 2000]
Options:
A) 2
B) $ \frac{1}{2} $
C) $ \log 3 $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
Given series = $ 1-\log 2+\frac{{{(\log 2)}^{2}}}{2!}-\frac{{{(\log 3)}^{3}}}{3!}+…. $ $ ={e^{-\log 2}}={e^{\log ( \frac{1}{2} )}} $ $ =\frac{1}{2} $ .
BETA
