MATH110 2026 CERTIFICATION SCRIPT FULL QUESTIONS AND CORRECT ANSWERS

MATH110 2026 CERTIFICATION SCRIPT
FULL QUESTIONS AND CORRECT
ANSWERS


◉Break Even Level. Answer: Where R(x) = C(x) or


Where P(x) = 0


◉Limits. Answer: The limit is the *y-value* that a function
*approaches* as it gets closer and closer to a given x-value




You start every limit by plugging in the x value


◉CASE 1: limits with a 0/0. Answer: This tells you to SIMPLIFY by
either:
- factoring
- multiplying by the conjugate
- finding a common denominator


◉CASE 2: limits with a #/0. Answer: If you plug in and get a #/0 :

, - The limit *does not exist*
- The answer will be infinity, negative infinity or DNE
- visually this is a vertical asymptote


◉These are typically one sided limits.... Answer: To solve, plug in a
number, on the correct side of the limit, close to the x value that the
limit is approaching. Determine whether the answer will be negative
or positive


◉If it is not a one sided limit.... Answer: you must compute the limit
coming from both sides


if you get the same thing then that is the answer
if you get two different answers, then the limit is DNE


◉Limits as x approaches +- infinity. Answer: When you are taking
limits as x approaches +- infinity, you want to look at the highest
power on top and bottom


◉CASE 1: The powers are the same. Answer: Rule: divide
coefficients


◉CASE 2: The power on bottom is bigger. Answer: Rule: ZERO