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Find the sum of each of the following infinite series : √2 - 1/√2 + 1/2√2 - 1/4√2 + ..... ∞

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Find the sum of each of the following infinite series :  

√2 - \(\frac{1}{\sqrt{2}}\) + \(\frac{1}{2\sqrt{2}} - \frac{1}{4\sqrt{2}} + ........ \infty\)

√2 - 1/√2 + 1/2√2 - 1/4√2 + ..... ∞

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1 Answer

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It is Infinite Geometric Series 

Here, a = √2

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