I can see the image with a set of limits to evaluate. Here is a transcription of the limits shown:

1. $\lim_{x \to 0} \frac{\sin^2{x}}{x^2}$
2. $\lim_{t \to 3} \frac{\sin(t - 3)}{t - 3}$
3. $\lim_{t \to 2} \frac{1 - \cos(t - 2)}{t - 2}$
4. $\lim_{t \to 3} e^{t - 3} - 1$
5. $\lim_{x \to 1} \frac{x^2 - 1}{x + 1}$

Would you like me to start solving these problems one by one or any specific one in particular? Let me know if you need any clarifications!

Here are some follow-up questions for your understanding:

1. What is the general method for evaluating limits involving trigonometric functions?
2. How can you use L'Hopital's Rule to solve indeterminate forms?
3. What does it mean when a limit approaches infinity or a specific point?
4. What are the key techniques for simplifying complex limit expressions?
5. How do you identify when to factor or use trigonometric identities to solve limits?

Tip: When you encounter limits that result in an indeterminate form like $\frac{0}{0}$, try applying L'Hopital's Rule or simplifying the expression through factoring or using known limit properties.