Find the value of the closed form of the above limit to 3 decimal places.
Let be a sequence of real numbers defined as follows:
for .
To the nearest hundredth, find the value of .
In other words, to what value does the following sequence converge:and so on...
Find the closed form of the limit above to 3 decimal places.
Notation: denotes the binomial coefficient.
For , consider the (finite) power tower,
For example, and .
Find , to three significant figures.
Bonus What happens if we consider a power tower with an odd number of 's?
Let and be two functions defined on by the formulas as described above.
For which does the (deleted) exist?
For which does the (deleted) exist?