Multiple Choice Questions on Find the value of h if f x 3 x3 7x2 6x ndash 2 x 1 for x nb........... for NDA Exam Preparation

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Multiple Choice Questions

Find the value of h if f x 3 x3 7x2 6x ndash 2 x 1 for x nb...........

Mathematics (NDA) limits
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    Find the value of h if  

     f(x) = (3 x3 - 7x2 + 6x – 2) / (x -1), for x ≠ 1 

    And f (1) = h is continuous at x = 1. 

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    Explanation:

    Given f(x) is continuous at x= 1. 

    Then,  limf(x) = f (1) = h  

                   x→1 

       Thus, limf(x) = lim (3x3 - 7x2+ 6x -2) / (x-1) 

                 x →1      x →1 

    = lim(x-1) (3x^2 - 4x +2) / (x-1) 

          x→1 

    = 3-4+2 = 1  

    Therefore, h = 1  

     

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