Let f: R --> R be defined as f(x) = (|x|/2 - x)(x - |x|/2). Which of the following statements is/are true?(A) f has a local maximum.(B) f has a local minimum.(C) f' is continuous over R.(D) f' is not differentiable over R.

Consider a function f: (0,1) --> {0,1} defined as follows: For a real number r in (0,1), f(r) = 1 if…

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The value of the following limit is: lim(x-->0) (e^x - 1) / (x^2 - x)

Consider the following expression: lim(x -> -3) of (sqrt(2x + 22) - 4) / (x + 3). The value of the a…