Question

Pre-calc, Review the table of values for function g(x). Which statement correctly explains whether Limit of g (x) as x approaches 3 exists? (image attached)

Answer 1

Answer:

$\lim_{x \to 3} g(x) = DNE$

Step-by-step explanation:

Observations:

• As x approaches 3 from the left side, f(x) approaches -1.6
• As x approaches 3 from the right side, f(x) approaches 1.6

Conclusion:

• Because the right and left-side limits are not equal to each other, the limit does not exist
• Therefore, $\lim_{x \to 3} g(x) = DNE$