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mathwonk said:eventually (after the end of the world that is) you have an infinite number of tries x all getting nearer each other and also ll values x^n getting nearer to y.
so you work to prove that the x's converge to something whose mth power must converge to y.
for this you need an axiom that tells yiou when a sequence of =reals converges.
or as this problem puts it, you need an axiom that says a shrinking sequence of nested, bounded, closed intervals contains at least one common point, and exactly one point if they shrink to zero in length.
or maybe it is rigged to use the fact that a bounded monotone sequence of reals converges.
mynameisfunk said:|a_{1}-b_{1}|=1/2
Physics is the scientific study of matter, energy, and their interactions. It seeks to understand the fundamental laws and principles that govern the behavior of the physical world.
Physics helps us understand the natural world around us, from the smallest particles to the largest galaxies. It also has many practical applications, such as developing new technologies and solving real-world problems.
Some key concepts in physics include motion, energy, forces, and laws of motion. Other important topics include thermodynamics, electromagnetism, and quantum mechanics.
Begin by familiarizing yourself with the basic principles and equations of physics. It's important to have a strong foundation in mathematics, as it is used extensively in physics. You can also start by reading introductory textbooks and watching online lectures or tutorials.
Try to break down complex concepts into smaller, more manageable parts. Use visual aids, such as diagrams or graphs, to help you understand relationships and visualize abstract concepts. Practice solving problems and seek help from tutors or classmates when needed.