Limits

Question 1

Limits as x–>∞

Answer 1

Divide by highest power in Denominator
Infinity makes some numbers Inconsequential

Question 2

Squeeze Theorum

Answer 2

If f(x)≤g(x)≤h(x) and lim(f(x))=lim(h(x))=L, then lim(g(x))=L

If a greater and lesser function share a limit, the function must also share a limit.
1. Identify min+max of function (separate factors as needed)
2. min≤f(x)≤max
3. Multiply all other factors (as needed)
4. Solve for a limit
5. min and max should be equivalent