Here are a few limit questions that I cannot figure out.

- Lim x--> Infinity Sin(x)
- Lim x--> Infinity (Sin(x)-x)
- Lim x--> Infinity (x / Sin(x))
- Lim x--> Infinity (Sin(x) / x)

My answers;

- Undefined, since Sin(x) varies b/w -1 and 1 and the end behavior is unknown at infinity
- Undefined
- Undefined
- Zero as x approaches infinity 1/x approaches zero.

Please help without using L'Hopital's Rule as we have not yet studied that in Calculus. Thank you