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If the following function is continuous at then the value of will be:

Mathematics20231 markMCQ
If the following function is continuous at $x = 2$ then the value of $k$ will be: $f(x) = \begin{cases} 2x + 1, & \text{if } x < 2 \\ k, & \text{if } x = 2 \\ 3x - 1, & \text{if } x > 2 \end{cases}$
  • (a)$2$
  • (b)$3$
  • (c)$5$
  • (d)$-1$

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Continuity, Differentiability and Differentiation

From ISC 2023 Mathematics Paper 1, question 1(iii).