Find the value of `' a '` if the function `f(x)` defined by `f(x)={2x-1,\ \ \ x<2\ \ \ \ \ a ,\ \ \ \ \ \ \ \ x=2x+1,\ \ \ \ x >2` is continuous at `x=2`

Explanation

To find the value of \( a \) such that the function \( f(x) \) is continuous at \( x = 2 \), we need to follow these steps:

### Step 1: Understand the definition of continuity
A function \( f(x) \) is continuous at a point \( x = c \) if:
\[ \lim_{x \to c^-} f(x) = f(c) = \lim_{x \to c^+} f(x) \]

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