limit x->3 √2x+3 - √4x-3 / 3-x
Matematika
real27
Pertanyaan
limit x->3 √2x+3 - √4x-3 / 3-x
2 Jawaban
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1. Jawaban idznizhahrina
ini jawabannya, semoga membantu yaa :)2. Jawaban DB45
cara lain
dgn Lhospital
lim(x->3) √(2x+3) - √(4x-3) /(3-x)
lim(x->3) [(2x+3)¹/² - (4x-3)¹/²] / (3 - x)
= 1/2 (2) (2x+3)⁻¹/² -(1/2 (4)(4x-3)⁻¹/2 ) /(-1)
= - [(2x +3)⁻¹/² - 2(4x-3)⁻¹/²]
x= 3
= -[(9)⁻¹/² - 2(9)⁻¹/²]
= - [ 1/3 - 2/3]
= 1/3