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# Mathematical Theorems Quiz

### 1. Which of the following statements is a correct expression of the Pythagorean Theorem?

### 2. In Euclidian geometry, which postulate serves as the basis for proving that parallel lines never meet?

### 3. What does Gödel's Incompleteness Theorem imply about formal systems?

### 4. What is the central concept of the Fundamental Theorem of Calculus?

### 5. According to the Mean Value Theorem for Integrals, if f is continuous on [$a, b$], then there exists a number c in the interval ($a, b$) such that:

### 6. What does L'Hôpital's Rule allow you to find?

### 7. Which theorem is essential in proving the convergence of a sequence?

### 8. Cantor's Diagonal Argument is used to show:

### 9. The Cauchy-Schwarz Inequality is primarily used in the context of:

### 10. Stokes' Theorem generalizes which of the following concepts?