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# A question for you

Here's a question for you:

What is the value of :

$$(0.05)^{\log_\sqrt{20} (0.1+0.01+0.001..............\infty)}$$

Note by Snehdeep Arora
4 years, 1 month ago

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First we sum the infinite geometric series with first term 0.1, common ratio 0.1 We get S = 0.1/(1-0.1) = 1/9. Take 0.05 = 1/20 = (√20)^-2, then the term can be resolved to 81. (Sorry can't show expression by typing)

Is this correct? · 4 years, 1 month ago

yeah · 4 years, 1 month ago

81 · 3 years, 6 months ago

81 · 4 years, 1 month ago

Is the answer 81? · 4 years, 1 month ago