Question
Question: \[1 + \frac{(\log_{e}n)^{2}}{2!} + \frac{(\log_{e}n)^{4}}{4!} + .... =\]...
1+2!(logen)2+4!(logen)4+....=
A
n
B
1/n
C
21(n+n−1)
D
21(en+e−n)
Answer
21(n+n−1)
Explanation
Solution
loge2=loge4.
1+2!(logen)2+4!(logen)4+....=
n
1/n
21(n+n−1)
21(en+e−n)
21(n+n−1)
loge2=loge4.