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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)

Precalc Review The Table Of Values For Function Gx Which Statement Correctly Explains Whether Limit Of G X As X Approaches 3 Exists Image Attached class=

Sagot :

Answer:

[tex]\lim_{x \to 3} g(x) = DNE[/tex]

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, [tex]\lim_{x \to 3} g(x) = DNE[/tex]

Answer:

A.

Step-by-step explanation:

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