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Product sequence/One over two times three over four/Zero convergence/Exercise
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We consider the sequence given by
x
n
=
1
2
⋅
3
4
⋅
5
6
⋯
2
n
−
1
2
n
.
{\displaystyle {}x_{n}={\frac {1}{2}}\cdot {\frac {3}{4}}\cdot {\frac {5}{6}}\cdots {\frac {2n-1}{2n}}\,.}
Show that this is a null sequence.
Create a solution