Let be a real number

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

Problem

Let

m

be a real number. Evaluate

\displaystyle L=\lim_{x\to m}\log_{10}\bigl(x^{2}-2mx+m^{2}+9\bigr)

and state for which value(s) of

m

this limit exists and is finite.