**How do you prove that the limit of x^2 = 0 as x …**
https://socratic.org/questions/how-do-you-prove-that-the-limit-of-x-2-0-as-x-approaches-0-using-the-epsilon-del

Jun 21, 2016 · A function f is said to have a limit L as x approaches c, denoted lim_(x->c)f(x) = L, if for every epsilon>0, there exists a delta > 0 such that |x-c| < delta implies |f(x)-L| < epsilon. Then, to prove that lim_(x->0)x^2=0, we must show that for any epsilon > 0 there exists delta > 0 such that |x-0| < delta implies |x^2-0| < epsilon. Proof: Let epsilon > 0 be arbitrary, and let …

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