Penjelasan dengan langkah-langkah:

Berikut adalah nilai limit dari fungsi-fungsi tersebut:

a. lim x² - 4 / (4x + 3) as x approaches infinity = ∞

b. lim (2 - 2x) / (4 - 3x - 3x²) as x approaches infinity = -∞

c. lim (x + 4)(2x - 1) / (x(x + 5)) as x approaches infinity = ∞

d. lim (x - 2)(x + 4) / ((1 - x)²) as x approaches infinity = -∞

e. lim (√√4x² - 3x + 2 - 2x) / (x - 8) as x approaches infinity = -∞

f. lim (x + 1 - √√x² + 3x + 5) / (x - 8) as x approaches infinity = -∞

g. lim (√2x + 1 - √√x + 3) / (1 / x) as x approaches infinity = ∞

h. lim (√x² + 2x + 5 - √√x² - 3x + 3) / (1 / x) as x approaches infinity = -∞

i. lim (√x² + 2x + 5 - √√x² - 3x + 3) as x approaches infinity = ∞

j. lim (√x² + 2x + 5 - √√x² - 3x + 3) as x approaches minus infinity = -∞

Catatan: Dalam perhitungan ini, asumsi dibuat bahwa limit ekspresi dalam rumus dapat didefinisikan dan memiliki nilai.