1. ## Basic Limits Question

Hello everyone,

I found some trouble with the following questions, although they look simple enough, I don't know how to calculate the limits of the 2 functions even though I know the final answer from Wolframalpha.

How do I solve these?

2. For the first limit, the numerator approaches zero while the denominator is bounded between 4 and 6. Therefore, the limit is zero.

3. Hi

For the first one use $-1 \leq \cos \left(\frac{1}{x}\right) \leq 1$

4. For the second one you can multiply the numerator and the denominator by $\sqrt{x}+\sqrt{a}$ and use $x^2-a^2 = (x-a)(x+a)$