So I just recently posted a problem about limits in which I misunderstood that
But actually its value is 1 (this is a surprising result for me)
After that problem I started to make another problem with nested radical having value 0, after a day I came up with this
The radical above is very standard having closed form of
Substitute x by cosx
Rewriting the original equation
Numerator and denominator both tends to 0 when
Now we can apply L-hospital rule getting final result after simplification
My question is: in the original problem both the numerator and denominator both are always positive how we can get a negative value? I have verified the result using wolfram alpha.
I can't find the mistake what I am doing, It would be very helpful if you can find the mistake in it,comment below if you found the possible error.