Question

\[\lim_{x \rightarrow \infty} \frac{(-1)^x}{2\sqrt{x}}\]
The numerator does not exist so I thought the entire limit wouldn't exist but the limit is actually 0. How do I deal with this?

Answer 1

you can use sandwhich theorem i think

Answer 2

I think you look at the *distance* the expression is from some limiting value. That distance is approaching zero