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Real numbers/Convergence/Root of it/Exercise
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Real numbers
Let
x
n
∈
R
≥
0
{\displaystyle {}x_{n}\in \mathbb {R} _{\geq 0}}
be a convergent sequence
with limit
x
{\displaystyle {}x}
. Show that the sequence
x
n
{\displaystyle {}{\sqrt {x_{n}}}}
converges to
x
{\displaystyle {}{\sqrt {x}}}
.
Create a solution