Question: Let f be a function and let d and k be reals. Suppose that lim f(x) > k. Then there is a positive h such

Let f be a function and let d and k be reals. Suppose that lim f(x) > k. Then there is a positive h such that f(x) > k for all x in the p.o.i. of width 2h centered at d. Prove this statement
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