Determine and state

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Determine

\displaystyle\lim_{x\to5^{-}}\frac{x^{2}-25}{3x-15}

and state, with brief justification, whether the function

g(x)=\frac{x^{2}-25}{3x-15}

can be redefined at

x=5

to make it continuous there.