Flag Magical Mathematics[Interesting Approach]> EXEPTION IN MATHS????
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if x to power x to power x......upto infinity = 22 then find x...............I got my ans as underrootunderroot 22............but if I change the value from 22 to 44 or 66 or 88 ...............the ans is same underroot------underroot 22.......the answer is both correct and wrong.........how is it possible???? see how i got my ansans---- let x to power x to power x......upto infinity = y then x topowery = y ...................................... y = 22................................ x squre = 22.......................................................... x = uderoot 22 PLS CORRECT ME IF I AM WRONG!!!!! THE QUESTION IS---------x^x^x^x.......∞ = 22

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Shivam Bhagat , 13 Years ago
Grade 9
anser 2 Answers
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Chetan Mandayam Nayakar

Last Activity: 13 Years ago

for all x>1, x^x^x^x...∞→∞,therefore your method of solution technically breaks down. This is like, for example, the formula

rn

1+x+x^2+x^3...∞ =1/1-x breaks down when lxl ≥1

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Akshay Malik

Last Activity: 13 Years ago

see if you replace 2 by 6, the the answer is not root 2 but 6th root of 6.. and this is the only approach to this. You are absolutely correct.

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