12th Class Mathematics Continuity and Differentiability

  • question_answer 1) Prove that f(x) = 5x – 3 is continuous at x = 0, at x = –3 and x = 5. 

    Answer:

    . f(x) = 5x ?3       At x = 0             = 5(0) ? 3 = ?3             Also f(0) = 5(0) ? 3 = ?3       Since        is continuous at x = 0       At = ?3             = 5(?3) ? 3 = ?18       Also f(?3) = 5 (?3) = ?18       Since        is continuous at x = ?3       At x = 5             = 5(5) ? 3 = 22       Also f(5) = 5(5) ? 3 = 22.       Since        is continuous at x = 5.  


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