點樣計呢題le?
(詳細步驟 thx )

lim(x→∞) [√(4x)+3]/[√(2x)-2]

JR8753 :點樣計呢題le?
(詳細步驟 thx )

lim(x→∞) [√(4x)+3]/[√(2x)-2]

lim(x→∞) [√(4x)+3]/[√(2x)-2]
=lim(x→∞) (2√x+3)/(√2√x-2)
=lim(x→∞) [(2√x-2√2)+(2√2+3)]/(√2√x-2)
=lim(x→∞) [√2(√2√x-2)+(2√2+3)]/(√2√x-2)
=lim(x→∞) [√2+(2√2+3)(√2√x-2)]
=√2+0
=√2