Word Count : 440

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हम दिए गए फलन \( f(x) \) के सांतत्य की जाँच करेंगे, जिसकी परिभाषा इस प्रकार है: \[ f(x) = \begin{cases} 3, & \text{यदि } x \text{ अपरिमेय है} \\ -3, & \text{यदि } x \text{ परिमेय है} \end{cases} \] ### किसी बिंदु पर सांतत्य की परिभाषा किसी बिंदु \( c \) पर एक फलन \( f(x) \) को सांतत्य (continuous) कहा जाता है यदि: \[ \lim_{x \to c} f(x) = f(c) \] अर्थात्, यदि \( x \) का मान \( c \) के समीप आता है, तो ________ _______ _______ ________ ________ ________.
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