Find the limit of the sequence an=2^n/(2n-1)?
1 Answer
Apr 11, 2018
Explanation:
So, we want
This is an indeterminate form and does not tell us anything of value.
We could solve by applying l'Hospital's Rule, but a sequence is not differentiable, so we need to define a function in terms of
Let
Then, differentiating numerator and denominator, we obtain
Thus,
The sequence diverges to