The sum of infinite terms of the geometric progression $\frac{{\sqrt 2 + 1}}{{\sqrt 2 - 1}},\frac{1}{{2 - \sqrt 2 }},\frac{1}{2}.....$ is
The sum of infinite terms of the geometric progression $\frac{{\sqrt 2 + 1}}{{\sqrt 2 - 1}},\frac{1}{{2 - \sqrt 2 }},\frac{1}{2}.....$ is
- A
$\sqrt 2 {(\sqrt 2 + 1)^2}$
- B
${(\sqrt 2 + 1)^2}$
- C
$5\sqrt 2 $
- D
$3\sqrt 2 + \sqrt 5 $
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- [KVPY 2016]
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