Maths-
General
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Question

If graph of the function y= f(x) is continuous and passes through point (3, 1) then stack l i m with x rightwards arrow 3 below blank fraction numerator l n left parenthesis 3 f left parenthesis x right parenthesis minus 2 right parenthesis over denominator 2 left parenthesis 1 minus f left parenthesis x right parenthesis right parenthesis end fraction text end textis equal

  1. fraction numerator 3 over denominator 2 end fraction    
  2. fraction numerator 1 over denominator 2 end fraction    
  3. negative fraction numerator 3 over denominator 2 end fraction    
  4. negative fraction numerator 1 over denominator 2 end fraction    

The correct answer is: negative fraction numerator 3 over denominator 2 end fraction


    text Since  end text stack l i m with x rightwards arrow 3 below   f left parenthesis x right parenthesis equals 1
    therefore stack l i m with x rightwards arrow 3 below   fraction numerator l n left parenthesis 1 plus 3 left parenthesis f left parenthesis x right parenthesis minus 1 right parenthesis right parenthesis over denominator negative 2 left parenthesis f left parenthesis x right parenthesis minus 1 right parenthesis end fraction equals negative fraction numerator 3 over denominator 2 end fraction

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