Show that `f(x)=5x-4` , `0< x < 1` `f(x)=4x^3-3x` , `1< x <2` continuous at `x=1`

Explanation

To show that the function \( f(x) \) is continuous at \( x = 1 \), we need to verify the following three conditions:

1. \( f(1) \) is defined.
2. The limit of \( f(x) \) as \( x \) approaches 1 exists.
3. The limit of \( f(x) \) as \( x \) approaches 1 is equal to \( f(1) \).

### Step 1: Find \( f(1) \)

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