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Limits & Continuitymedium
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For what value of kkk is the following function continuous at x=1x = 1x=1? f(x)={kx+2x≤1x2+3x>1f(x) = \begin{cases} kx + 2 & x \leq 1 \\ x^2 + 3 & x > 1 \end{cases}f(x)={kx+2x2+3​x≤1x>1​