Test 1

Question 1

How to find a limit given a value?

Answer 1

Direct Substitute if possible

Question 2

What to do if it does not factor?

Answer 2

Look for Conjugate Rule if it is 0/0

If it is R/0 then approaches ∞ or -∞, do one sided limits of the value and plug in close to that value to test if - or +

Question 3

How to find limits involving infinity?

Answer 3

Divide the numerator and denominator by the highest power in the denominator, if it is R/x^r then it = 0

Question 4

How to find vertical asymptotes?

Answer 4

Set denom. = 0 and solve. Use those points and evaluate the limit of it. If it is ∞ or -∞, then it is an asymptote

Note: if it makes the denom. =0, then evaluate using one-sided limits and sign change

Question 5

How to find horizontal asymptotes?

Answer 5

Start by finding the limits of ∞ or -∞. If the limits are equal, then there is a horizontal asymptote