Question
Download Solution PDFमाना फलन f(x) को इस रूप में परिभाषित किया गया है \(f(x)=\frac{x-|x|}{x}\), तब
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसही उत्तर विकल्प 4 है।
दिया गया है: \(f(x)=\dfrac{x-|x|}{x}\)
गणना:
⇒ \(f(x)=\dfrac{x-|x|}{x}\)
x = 2 के मान के लिए
फलन f(2)= \(\dfrac{2-|2|}{2}\) = 0
x = 0 के मान के लिए; f(0) = \(\dfrac{0-|0|}{0}\) = असंभव मूल्य
x = -2 के मान के लिए; f(-2) = \(\dfrac{-2-|-2|}{-2}\) = 2
इसलिए, x = 0 को छोड़कर x के सभी मानों के लिए फलन का कुछ निश्चित हल है।
अतः, x = 0 को छोड़कर x के सभी मानों के लिए फलन एक सतत फलन है।Last updated on Jun 11, 2025
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