It looks like you've uploaded a file containing several limit evaluation problems. I will proceed with solving each of them. Let me break down and solve each problem:

1. lim (w → 1) (1 + √w)(2 - w² + 3w³)

2. lim (t → 1) (t² - 1) / (t² + 4t + 3)

3. lim (x → 2) (x² - x - 2) / (x² - 2x - 3)

4. lim (x → 1) (x² - x - 2) / (x³ - 6x² - 7x)

5. lim (y → 2) (6 - y²) / (4 - 3y² - y³)

6. lim (x → 4) (x³ - 7x² + 14x - 8) / (x² - 3x - 4)

7. lim (x → 1) (√(x² + 3) - 2) / (x² - 1)

8. lim (x → 2) (√(2x) - √(6 - x)) / (4 - x²)

9. lim (x → 16) (x² - 256) / (4 - √x)

10. lim (q → 1) (√(9q² - 4) - √(7q + 12q)) / (q² + 3q + 2)

I will now begin solving these step by step. Would you like me to provide detailed explanations for each one, or just the final answers?