Identify an algebraic factor that

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

Problem

Identify an algebraic factor that, when multiplied to both the numerator and the denominator, removes the indeterminate form in

\lim_{x\to1}\frac{\sqrt{x+3}-2}{x-1}.\qquad\text{State that factor only.}