Let be a constant

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let

a\,(\neq 0)

be a constant. Find

\displaystyle\lim_{x\to a}\frac{x^{5}-a^{5}}{x^{2}-a^{2}}

. (a)

\dfrac{5a^{4}}{2}

(b)

5a^{3}

(c)

\dfrac{5a^{3}}{2}

(d)

\dfrac{2}{5a^{3}}