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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)

Pre-calc, Review the table of values for function g(x). Which statement correctly-example-1
User Iaretiga
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2 Answers

6 votes

Answer:

A.

Explanation:

Got it right

User Jacob Ewald
by
7.7k points
5 votes

Answer:


\lim_(x \to 3) g(x) = DNE

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
User Sean Beanland
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