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distance from a point to a hyperplane - Mathematics Stack Exchange I have an n-dimensional hyperplane: w ′ x + b = 0 and a point x0 The shortest distance from this point to a hyperplane is d = w ⋅ x0 + b w I have no problem to prove this for 2 and 3 dimension space using algebraic manipulations, but fail to do this for an n-dimensional space Can someone show a nice explanation for it?
Using the definition of a limit to prove 1 n converges to zero. So we define a sequence as a sequence an a n is said to converge to a number α α provided that for every positive number ϵ ϵ there is a natural number N such that | an a n - α α | < ϵ ϵ for all integers n ≥ ≥ N What I'm not understanding is what does this mean For example, 1 n 1 n converges to 0 But I don't understand how I use this definition to prove that this converges to 0