Q)
If the function defined by $ f(x) = \left\{ \begin{array}{l l}2x-1, & \quad if { x < 2 } \\ a, & \quad if { x = 2 } \\ x+1, & \quad if { x > 2 } \end{array} \right. $ is continuous at x = 2, find the value of a. Also discuss the continuity of f(x) at x = 3.
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