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Examine whether the function f given by ...

Examine whether the function `f` given by `f(x)=x^(3)` is continuous at `x =0`

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To determine whether the function \( f(x) = x^3 \) is continuous at \( x = 0 \), we need to check three conditions: 1. The function \( f(0) \) is defined. 2. The limit of \( f(x) \) as \( x \) approaches 0 exists. 3. The limit of \( f(x) \) as \( x \) approaches 0 is equal to \( f(0) \). Let's go through these steps one by one. ...
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