For the following series, if it converges, enter the limit of convergence.
If not, enter "DNE" (unquoted).
∑
n
=
1
∞
ln
(
2
(
n
+
1
)
)
−
ln
(
2
n
)
\displaystyle {\sum_{{{n}={1}}}^{\infty}}{\ln{{\left({2}{\left({n}+{1}\right)}\right)}}}-{\ln{{\left({2}{n}\right)}}}
n
=
1
∑
∞
ln
(
2
(
n
+
1
)
)
−
ln
(
2
n
)
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\displaystyle
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity