Here's a question for you:

What is the value of :

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

Here's a question for you:

What is the value of :

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

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TopNewestFirst 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? – Eng Ngee H'ng · 3 years, 8 months ago

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– Snehdeep Arora · 3 years, 8 months ago

yeahLog in to reply

81 – Sehaj Taneja · 3 years ago

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81 – Yugesh Karnati · 3 years, 8 months ago

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Is the answer 81? – Anshul Agarwal · 3 years, 8 months ago

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– Snehdeep Arora · 3 years, 8 months ago

correctLog in to reply