Question

${lim}_{x\to 0}\frac{ta{n}^{3}x-si{n}^{3}x}{x^5}=$

• A. $\frac{5}{2}$
• B. $\frac{3}{2}$
• C. $\frac{3}{5}$
• D. $\frac{2}{5}$

Answer 1

The correct option is B

$\frac{3}{2}$

$\underset{x\to 0}{Lt}\frac{ta{n}^{3}x}{x^3}\frac{(1-co{s}^{3}x)}{x^2}=1.\frac{3}{2}=\frac{3}{2}$