Ada yg bisa soal ini nggaaa?

Mapel : Matematika
Kelas : XI SMA
Bab : Limit

Pembahasan :
Lim [x » π/2] Cos²(x - π/4)
= Cos²(π/2 - π/4)
= Cos²(π/4)
= Cos²(180/4)
= Cos²(45)°
= (1/2 √2)²
= 2/4
= 1/2

Jawaban : A

[tex]\displaystyle \lim_{x\to\frac12\pi}\cos^2\left(x-\frac14\pi\right)=\cos^2\left(\frac12\pi-\frac14\pi\right)\\\lim_{x\to\frac12\pi}\cos^2\left(x-\frac14\pi\right)=\cos^2\left(\frac14\pi\right)\\\lim_{x\to\frac12\pi}\cos^2\left(x-\frac14\pi\right)=\left(\frac12\sqrt2\right)^2\\\boxed{\boxed{\lim_{x\to\frac12\pi}\cos^2\left(x-\frac14\pi\right)=\frac12}}[/tex]