Lim x--> 5 4 - √2x+6 / x-5
Matematika
bellapuspitas09
Pertanyaan
Lim x--> 5 4 - √2x+6 / x-5
1 Jawaban
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1. Jawaban Jkira
(4-√2x+6 / x-5)(4+√2x+6 / 4+√2x+6)
16-(2x+6) / (x-5)(4+√2x+6)
10-2x / (x-5)(4+√2x+6)
-2(x-5) / (x-5)(4+√2x+6)
-2 / (4+√2x+6)
Lim x-> 5 (4-√2x+6 / x-5)
= Lim x->5 (-2 / (4+√2x+6))
= -2 / (4+√2(10)+6)
= -2 / (4+√16)
= -2 / 8
= -1/4