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The question asks for the value of the variable \( a \) such that the function \( y(x) \) becomes continuous at the point \( x = 0 \).

To proceed, we would typically need the definition of the function \( y(x) \). Without that, it's difficult to precisely determine the required value of \( a \).

Could you provide more information about the function \( y(x) \)? Is there a function expression provided elsewhere?

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If you'd like to explore more:

1. What are the general conditions for continuity of a function at a point?
2. What is the definition of a removable discontinuity?
3. How is a piecewise function made continuous by adjusting parameters?
4. What role does the limit play in determining continuity at \( x = 0 \)?
5. What other points could be interesting to analyze for continuity of a function?

**Tip**: To ensure a function is continuous at \( x = 0 \), check that the limit of the function as \( x \to 0 \) from both sides equals the function value at \( x = 0 \).

Какое значение нужно задать переменной a, чтобы функция y(x) стала непрерывной в точке x = 0?

Determine the value of variable 'a' for the function y(x) to ensure continuity at x = 0. Explore key concepts in calculus, including limits and continuity definitions. Suitable for advanced high school students.

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