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If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\sin x), is (f) one-one?यदि (f:\mathbb{R}\to\mathbb{R}) और (f(x)=\sin x) हो तो (f) एकैकी है या नहीं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Noनहीं
Step 1: (\sin x) is a periodic function. Step 2: (\sin 0=0) and (\sin \pi=0), while (0\neq\pi). Step 3: Periodic functions are usually not one-one on the whole real domain.चरण 1: (\sin x) आवर्ती फलन है। चरण 2: (\sin 0=0) और (\sin \pi=0) जबकि (0\neq\pi)। चरण 3: पूरे वास्तविक प्रांत पर आवर्ती फलन अक्सर एकैकी नहीं होते।
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