It looks like you've uploaded an image of a math problem or set of problems. I will extract and solve the mathematical content from the image.

Let me analyze the image first.Here's the transcription of the math problem from the image:

Given the function $f(x) = \frac{6x^2 - 9x + 4}{2x - 3}$, compute the following limits:

1. $\lim_{{x \to 2}} f(x)$ $\text{Result: } \boxed{4}$

2. $\lim_{{x \to 0}} f(x)$ $\text{Result: } \boxed{2}$

3. $\lim_{{x \to 1}} f(x)$ $\text{Result: } \boxed{5}$

4. $\lim_{{x \to -\infty}} f(x)$ $\text{Result: } \boxed{3}$

5. $\lim_{{x \to \infty}} f(x)$ $\text{Result: } \boxed{3}$

If these are the answers given in the image, I can help confirm them by solving the limits. Would you like a detailed explanation of each step?