tolong di jawab lengkap no spam lat 1.1 dan 1.2 aja

1.

Lim (sinx + cosx)
x→0

= sin 0 + cos 0
= 0 + 1
= 1

2.

Lim (cosx / sinx + cosx)
x→0

= cos 0 / sin 0 + cos0
= 1 / 0 + 1
= 1 /1
= 1

3.

Lim 1 - cos2x / 2cosx
x→ π/2

Lim 1 - (1 - 2sin²x) / 2cosx
x→ π/2

Lim 2sin²x / 2cosx
x→ π/2

Lim sin²x / cosx
x→ π/2

= sin² (90) / cos90
= 1² / 0
= 1 / 0
= ~

.


1.

Lim 1 - cos2x / 2cosx
x→ π/2

Lim 1 - (1 - 2sin²x) / 2cosx
x→ π/2

Lim 2sin²x / 2cosx
x→ π/2

Lim sin²x / cosx
x→ π/2

= sin² (90) / cos90
= 1² / 0
= 1 / 0
= ~

2.

Lim 1 - sin2x / cos²2x
x→ π/2

= 1 - sin2( π/2) / cos² 2( π/2)
= 1 - sin π / (cos( π))²
= 1 - 0 / (-1)²
= 1 / 1
= 1