12th Class Mathematics Continuity and Differentiability

  • question_answer 34) Find all the points of discontinuity of f(x) = |x| – |x + 1|. 


    Let g(x) = |x| and h(x) = |x + 1| f(x) = g(x) – h (x) Since a modulus function is everywhere continuous. Therefore g and h are everywhere continuous. Hence being the difference of two continuous functions, f is a continuous function. f has no point of discontinuity.  

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