1800-150-456-789
FlagBACK
Flag Magical Mathematics[Interesting Approach]> EXEPTION IN MATHS????...
question mark

if x to power x to power x......upto infinity = 2 then find x...............I got my ans as (underroot 2)............but if I change the value from 2 to 4 or 6 or 8 ...............the ans is same ------(underroot 2).......the answer is both correct and wrong.........how is it possible???? see how i got my ans---- let x to power x to power x......upto infinity = y then x topowery = y ...................................... y = 2................................ x squre = 2.......................................................... x = uderoot 2 PLS CORRECT ME IF I AM WRONG!!!!! THE QUESTION IS---------x^x^x^x.......∞ = 2

Shivam Bhagat , 13 Years ago
Grade 9
anser 2 Answers
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

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

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.

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...

Other Related Questions on magical mathematics[interesting approach]

question mark
Given that (1+5x)⁴ = 1 + Px + Qx² + Rx³ +..... Find the values of P - 2Q + 3R
magical mathematics[interesting approach]
1 Answer Available

Last Activity: 2 Years ago

question mark
9 men and 15 boys working 10 hours a day can make 12 pillars in 42 days, in how many days will 12 men and 22 boys working 8 hours a day can make pillars 4 times the previous number?
magical mathematics[interesting approach]
1 Answer Available

Last Activity: 2 Years ago

question mark
In the given figure, PQ is a tangent at a point C to a circle with centre O. If AB is a diameter, find angle PCA + angle BCQ?
magical mathematics[interesting approach]
0 Answer Available

Last Activity: 2 Years ago

question mark
for any two sets A and B (A-B)U(B-A)U (A intersection B)
magical mathematics[interesting approach]
0 Answer Available

Last Activity: 2 Years ago

question mark
If someone has got 150 out of 200 marks in term 1 exam and 160 out of 200 marks in term 2 exam then what is the percentage in30:70
magical mathematics[interesting approach]
0 Answer Available

Last Activity: 2 Years ago