Find the value of .

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

Problem

Find the value of

\displaystyle\lim_{x\to 0}\frac{\tan 5x-5x}{x^{3}}

. (a)

125

(b)

\dfrac{125}{3}

(c)

\dfrac{25}{3}

(d)

\dfrac{125}{6}