For , a function is defined by . Determine the exact coordinate of the point that can…

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

Problem

For

x\neq 1

, a function

g

is defined by

g(x)=\dfrac{x^{2}-1}{x-1}

. Determine the exact coordinate of the point that can be added to the graph so that

g

becomes continuous everywhere.