Mathematics · Complex Analysis
Let f be an entire function. Which of the following statements is FALSE?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1If sin(Re(f) + Im(f)) is bounded, then f is constant.✓
- 2If the sum Re(f) + Im(f) and the product Re(f)Im(f) are bounded, then f is constant.
- 3If e |Re(f)| + |Im(f)| is bounded, then f is constant.
- 4If Re(f) and Im(f) are bounded, then f is constant.
Correct answer
If sin(Re(f) + Im(f)) is bounded, then f is constant.
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