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  • Perplex
    IB Math AASL
    /
    Differentiation
    /

    Problem Bank

    [Maximum mark: 5]

    Consider the function

    ​
    f(x)=x2−5x+6x2+x+k​
    ​

    and the following tables of values as ​x​ approaches ​3​ from below.

    ​x​

    2.500

    2.900

    2.990

    2.999

    ​f(x)​

    13.00

    7.67

    7.06

    7.01

    1. State ​x→3lim​f(x).

      [1]

      To earn a crown, get your answer ready before you reveal the options!

    2. Explain why ​f(3)​ is undefined.

      [2]
    3. Determine the value of ​k.

      [2]

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