Let for . I need to show that ...
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Hello, let me try to help you 1) Try when x<0, then |x|=-x. 2) Try when x>0, then |x|=x. Take the limit, and tell what you get. Hugs
Originally Posted by CrazyCat87 Let for . I need to show that ... To prove that: you must prove that: for all ε>0 there exists a δ>0 such that : for all ,x : if 0<x<δ , then f(x)>ε
Originally Posted by miguemate Hello, let me try to help you 1) Try when x<0, then |x|=-x. 2) Try when x>0, then |x|=x. Take the limit, and tell what you get. Hugs And, therefore, it is sufficient to prove that .
Originally Posted by HallsofIvy And, therefore, it is sufficient to prove that . Why would that be sufficient?
Because making the substitution y= -x in gives which is, of course, the same as
ok I'm done proving it, thanks everyone for all your help!!
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