Understanding the Concept of a Limit

Question 16 • Precalculus

Review the table of values for function g(x).xg(x)32.9–732.99–6.132.999–6.0133.001–15.0133.01–15.133.1–16

Answer

Limit of g (x) = negative 16 as x approaches 33 minus and limit of g (x) = negative 7 as x approaches 33 plus

Limit of g (x) = negative 15 as x approaches 33 minus and limit of g (x) = negative 6 as x approaches 33 plus

Limit of g (x) = negative 7 as x approaches 33 minus and limit of g (x) = negative 16 as x approaches 33 plus

Limit of g (x) = negative 6 as x approaches 33 minus and limit of g (x) = negative 15 as x approaches 33 plus

Explanation

As x approaches 33 from the left, the table values of g(x) (−7, −6.1, and −6.013) get closer to −6. From the right, the values (−15.013, −15.1, and −16) get closer to −15. Therefore, the left-hand limit is −6 and the right-hand limit is −15, which is choice D.

AI-written and checked against the verified answer.

Back to All Questions

More from this Course

Quiz

14 verified answers

Graphing Parametric Equations

Quiz

10 verified answers

The General Equation of Conic Sections

Quiz

10 verified answers

The General Equation of Conic Sections