question 20 (1 point) find the limit algebraically. lim x→0 x³ + 12x² - 5x / 5x a 0 b -1 c 5 d does not exist

Explanation:

Step1: Factor out x from the numerator

$\lim_{x\rightarrow0}\frac{x(x^{2}+12x - 5)}{5x}$

Step2: Cancel out the common factor x

$\lim_{x\rightarrow0}\frac{x^{2}+12x - 5}{5}$

Step3: Substitute x = 0

$\frac{0^{2}+12\times0 - 5}{5}=\frac{- 5}{5}=-1$

Answer:

B. -1