hi everybody, i have some problems from calculus but i can not solve , if someone can help, i will be very glad.

1) lim cos(3x)

x→1 x²+ 2x-1

2) lim sin (x-1)

x→∞ (2+x²)

3) lim sin (x²+1)

x→∞ (x+1)

4) lim (x-1) sin (x+2)

x→ -2 x²-4

5) lim √x +x²

x→-∞ x