lim x → 2 √2+x - √2x /x-2=
Matematika
rahmanaman12
Pertanyaan
lim x → 2 √2+x - √2x /x-2=
1 Jawaban
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1. Jawaban Anonyme
Bab Limit
Matematika SMA Kelas XI
lim ((√(2 + x) - √2x) / (x - 2))
x→2
= lim ((2 + x) - 2x) / ((x - 2) (√(2 + x) + √(2x)))
...x→2
= lim (2 - x) / (-1 . (2 - x) (√(2 + x) + √(2x)))
...x→2
= 1/(-1 . (√(2 + 2) + √(2 . 2))
= 1/(-1 . (2 + 2))
= -1/4