Question

If \( f(x) = (1 + x)^2 \) for \( x>0 \), then \( f(x) \) is

• A. continuous only at \( x = 0 \)
• B. right continuous only at \( x = 0 \)
• C. continuous at \( x = 0 \)
• D. discontinuous at \( x = 0 \)

Hint:

A function is continuous if the limits from both sides of a point are equal to the function value at that point.

Answer 1

The Correct Option is C

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 \( x = 0 \).