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It looks like the document contains a set of questions from a **Calculus for Science and Engineering** course, specifically **Assignment 2**. The questions visible include:

- Find the limit or show that it does not exist.
- Determine whether \( f'(0) \) exists.

I can help solve these or any other related calculus questions.

Would you like to work through these problems together, or focus on specific ones? Feel free to specify which problem, and I’ll guide you through the solution.

### 5 Related Questions:
1. What is the formal definition of a limit in calculus?
2. How can we determine if a function is differentiable at a given point?
3. What are the common techniques to find limits, such as L'Hôpital's rule?
4. How do you prove whether a limit does not exist?
5. What are the conditions for the existence of a derivative?

**Tip:** When finding a limit, always check for indeterminate forms like \( \frac{0}{0} \) or \( \frac{\infty}{\infty} \). This often suggests using L'Hôpital's rule or factoring techniques.

Find the limit or show that it does not exist. Determine whether f ’(0) exists.

Solve problems involving finding limits and determining the existence of derivatives from a Calculus for Science and Engineering assignment. Learn how to find the limit or show that it doesn't exist, and determine whether the derivative at a given point exists.

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