The image appears to contain mathematical exercises written in Russian. Here's what I can extract and translate:

TEST ЗПФ (TEST ZPF)

1. Prove, based on the definition, that: $\lim_{x \to 1} (2 - 4x) = -2$

   Answers:

   1. $\delta = \frac{\varepsilon}{2}, \forall \varepsilon$
   2. $\delta = \frac{\varepsilon}{4}, \forall \varepsilon$
   3. $\delta = -\frac{\varepsilon}{4}, \forall \varepsilon$
   4. Correct answer is not indicated.

It seems to be a limit problem where the answers provide conditions for $\delta$-$\varepsilon$ reasoning related to the proof of the limit.

Would you like help solving the limit or discussing how to work with $\delta$ and $\varepsilon$ proofs for limits?

Here are 5 questions to expand on the topic:

1. How is the concept of $\delta$-$\varepsilon$ used to formally prove limits?
2. Can you find the limit using a direct substitution approach first?
3. How does the choice of $\delta$ depend on $\varepsilon$ in limit proofs?
4. What is the significance of proving limits using formal definitions rather than informal calculations?
5. Can you graphically interpret $\delta$-$\varepsilon$ proofs?

Tip: When working with limits, always try direct substitution first before using more formal definitions.