At x→ -3 the value of the limit of function g(x) does not exist because the left-hand limit and right-hand limit are not equal an option second is correct.
What is the limit?
A limit is a value at which a function approaches the output for the given values in mathematics. Limits are used to determine integrals, derivatives, and continuity in calculus and mathematics.
We have a graph of function g(x)
[tex]\rm \lim_{x \to a}g(x)[/tex]
Let's check at x = -3
Finding the left-hand limit and right-hand limit.
[tex]\rm \lim_{x \to -3^{-1}}g(x) = -2[/tex]
[tex]\rm \lim_{x \to -3^{+1}}g(x) = -4[/tex]
Since the left-hand limit and right-hand limit are not equal then at x = -3 the limit does not exist.
Thus, at x→ -3 the value of the limit of function g(x) does not exist because the left-hand limit and right-hand limit are not equal an option second is correct.
Learn more about the limit here:
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