Q. pro (ಠ_ಠ)>⌐■-■ (⌐■-■)
[tex]\ \textless \ br /\ \textgreater \ \displaystyle\lim_{ \sf \: x→∞ }( \sqrt{ {x}^{2} - 4 } - (x + 1) = [/tex]
A• -4
B• -1
C• 0
D• 4
E• 1
[tex]\ \textless \ br /\ \textgreater \ \displaystyle\lim_{ \sf \: x→∞ }( \sqrt{ {x}^{2} - 4 } - (x + 1) = [/tex]
A• -4
B• -1
C• 0
D• 4
E• 1
Jawaban:
B –1
Penjelasan dengan langkah-langkah:
Lim [√(x² – 4) – (x + 1)]
x→∞
= Lim [√(x² – 4) – √(x² + 2x + 1)]
x→∞
a = 1
p = 0
q = 2
Limit = (p – q)/(2√a)
= (0 – 2)/(2√1)
= –2/2
= –1
Penjelasan dengan langkah-langkah:
Diperoleh:
Maka: