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JEE Main & Advanced Mathematics Limits, Continuity and Differentiability Question Bank Numerical Value Type Questions - Continuity and Differentiability

  • question_answer
    Find the value of b such that the function  \[f\left( x \right)=\left\{ \begin{matrix}    ax+3, & x\ge 1\text{ }\!\!~\!\!\text{ }  \\    {{x}^{2}}+b, & x<1\text{ }\!\!~\!\!\text{ }  \\ \end{matrix} \right.\] is continuous and differentiable at\[x=1\].

    Answer:

    4.00


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