Hey there! We receieved your request
Stay Tuned as we are going to contact you within 1 Hour
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-5470-145
+91 7353221155
Use Coupon: CART20 and get 20% off on all online Study Material
Complete Your Registration (Step 2 of 2 )
Sit and relax as our customer representative will contact you within 1 business day
OTP to be sent to Change
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 to power y = y ...................................... y = 2................................ x squre = 2.......................................................... x = uderoot 2 PLS CORRECT ME IF I AM WRONG!!!!! THE QUESTION IS---------
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
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.
Register Yourself for a FREE Demo Class by Top IITians & Medical Experts Today !