Question
सातत्य की अनुक्रमिक परिभाषा द्वारा सिद्ध कीजिए कि
द्वारा परिभाषित फलन f असतत है, I
Answer :
Word Count : 345
दिया गया फलन \( f(x) \) इस प्रकार परिभाषित है: \[ f(x) = \begin{cases} 2, & \text{यदि } x \text{ अपरिमेय है} \\ -2, & \text{यदि } x \text{ परिमेय है} \end{cases} \] हमें यह सिद्ध करना है कि यह फलन प्रत्येक वास्तविक संख्या \( x \) पर असतत है। ### सातत्य की अनुक्रमिक परिभाषा के अनुसार: फलन \( f(x) \) किसी बिंदु \( c \) पर सतत होगा _______ ________ ___ _______ __________.
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दिया गया फलन \( f(x) \) इस प्रकार परिभाषित है: \[ f(x) = \begin{cases} 2, & \text{यदि } x \text{ अपरिमेय है} \\ -2, & \text{यदि } x \text{ परिमेय है} \end{cases} \] हमें यह सिद्ध करना है कि यह फलन प्रत्येक वास्तविक संख्या \( x \) पर असतत है। ### सातत्य की अनुक्रमिक परिभाषा के अनुसार: फलन \( f(x) \) किसी बिंदु \( c \) पर सतत होगा _______ ________ ___ _______ __________.
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