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Determine the value of for which the following function is continuous at .

Mathematics20242 marksNumerical
Determine the value of $k$ for which the following function is continuous at $x = 3$. $f(x) = \begin{cases} \frac{(x + 3)^2 - 36}{x - 3} & ; x \neq 3 \\ k & ; x = 3 \end{cases}$

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Continuity, Differentiability and Differentiation

From ISC 2024 Mathematics Paper 1, question 4(i).