Answer
TRUE
Work Step by Step
Given:$g(x)=x^{5}$
This limit is just the definition of the derivative so really what we are checking is if $g'(2)=80$ . Well $g'(x)=5x^{4}$ by the power rule.
Then
$g'(2)=5(2)^{4}=80$
Hence, the statement is true.