Question

Factoriza y calcula limite​

Answer 1

Explicación paso a paso:

lim x→0. (5x³ + 8x²) / (3x⁴ - 16x²)

lim x→0. x²(5x + 8) / x²(3x² - 16)

lim x→0. (5x + 8) / (3x² - 16)

= (0+8)/(0-16) = - 8/16 = -1/2 = -0.5

lim u→1. (u⁴ - 1)/(u³ - 1)

lim u→1. {(u -1)(u³ + u² + u + 1)} / {(u - 1)(u² + u + 1)}

lim u→1. (u³ + u² + u + 1) / (u² + u + 1)

valuar límite: (1³ + 1² + 1 + 1) / (1² + 1 + 1)

= 4/3 = 1.3333

lim u→2. (u³ - 8) / (u⁴ - 16)

lim u→2. (u-2)(u²+2u+4)/(u-2)(u³+2u²+4u+8)

lim u→2. (u²+2u+4)/(u³+2u²+4u+8)

= 12/32 = 3/8 = 0.375