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show that f(x)=x^(3) is contiuous at x=...

show that ` f(x)=x^(3)` is contiuous at x=2

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To show that the function \( f(x) = x^3 \) is continuous at \( x = 2 \), we need to verify that the left-hand limit, right-hand limit, and the function value at that point are all equal. ### Step-by-Step Solution: 1. **Identify the function and the point of continuity**: We have the function \( f(x) = x^3 \) and we want to check continuity at \( x = 2 \). 2. **Calculate the function value at \( x = 2 \)**: ...
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