Review the graph of function g(x).

On a coordinate plane, a graph repeats multiple time with a maximum of (0, negative 2) and minimum of (0, negative 8) near the y-axis. It curves up to (0.5, negative 2) and then curves down through (3, negative 4). It curves down to (negative 0.5, negative 8) and curves up through (negative 3, negative 8).

Esai claims that Limit of g (x) as x approaches 0 is both –2 and –8 because the graph oscillates between these two values.
Kadence claims that Limit of g (x) as x approaches 0 is the average of –2 and –8, which is –5.
Who is correct?

Esai only
Kadence only
both Esai and Kadence
neither Esai nor Kadence