I can not figure this problem out. Please somebody help me. let f: (a,b) R, where a,b R be a function and let x (a,b). Prove that if limh 0|f(x+h)-f(x)|=0, then lim h 0|f(x+h)-f(x-h)| = 0.
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I believe it's along the lines of... where we used the triangle inequality in this step. You might need to make it a bit more rigorous but I think this is what you have to do...
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