Can somebody help me understand this one, please?
I get that the answer is zero, because the denominator goes to infinity due to the . I also understand that the value of is always between 0 and 1, which is why we can conclude that the limit overall is zero.
What is a little weird for me is that the limit of doesn't exist. I can't get past the idea that the limit of a fraction can be defined when the limit of the numerator doesn't exist. What if the numerator was simply ? Then what would the overall limit be (since can vary between -1 and 1)?
Sorry if I'm being a little dense, but can somebody try to explain this to me?