Question:
If \( f(x) = (1 + x)^2 \) for \( x>0 \), then \( f(x) \) is
If \( f(x) = (1 + x)^2 \) for \( x>0 \), then \( f(x) \) is
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A function is continuous if the limits from both sides of a point are equal to the function value at that point.
Updated On: Jan 12, 2026
- continuous only at \( x = 0 \)
- right continuous only at \( x = 0 \)
- continuous at \( x = 0 \)
- discontinuous at \( x = 0 \)
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The Correct Option is C
Solution and Explanation
The function is continuous for all values of \( x \), and it is continuous specifically at \( x = 0 \) for the given expression.
Step 2: Conclusion.
The correct answer is (C), continuous at \( x = 0 \).
Step 2: Conclusion.
The correct answer is (C), continuous at \( x = 0 \).
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