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In the field of mathematics, which theorem did Weierstrass prove?

  • Intermediate Value theorem

  • Last Value theorem

  • Equal Value theorem

  • Prime Value theorem

Answer

The Intermediate Value Theorem, also known as the Bolzano–Weierstrass Theorem, states that if a function is continuous on a closed interval, then it takes on every value between its endpoints at some point within the interval. This theorem is used to prove many other theorems in calculus, and it is also used in applications such as finding the roots of equations.
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