Multiple Choice Questions on Find the value of k if f x x2 5x 6 x 2 for x ne 2 And f 2 k is c........... for NDA Exam Preparation

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Multiple Choice Questions

Find the value of k if f x x2 5x 6 x 2 for x ne 2 And f 2 k is c...........

Mathematics (NDA) limits
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    Find the value of k if  

    f(x) = (x2 - 5x + 6) / (x-2), for x ≠ 2 

    And f (2) = k is continuous at x = 2. 

    -1

    Correct Answer

    -2

    Incorrect Answer

    -3

    Incorrect Answer

    2

    Incorrect Answer
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    Explanation:

    Given f(x) is continuous at x = 2  

    ⇒ lim f(x)= lim (x2 - 5x + 6) / (x-2) 

         x→2       x→ 2           

       = lim (x-2) (x-3) / (x-2) 

            x→2 

       = lim(x-3) = 2-3 = -1 

          x→ 2 

       Therefore, k = -1  

    By: bhavesh kumar singh
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