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PRABODH PUBLICATION-सांतत्य-प्रश्नावली 9.2
- निम्नलिखित फलनों के सांतत्यता की जाँच निर्दिष्ट बिन्दु पर कीजिए f(x...
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- f(x)={{:((sin x)/(x)",","यदि"x lt 0),(2x + 3",","यदि" x ge 0):}
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- f(x)={{:((sin x)/(x)+cos x",","यदि"x ne 0),(" "5",","यदि" x = 0):}
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- f(x)={{:((e^(x)-1)/(log(e)(1+2x))",","यदि"x ne 0),(" "7",","यदि" x ...
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- f(x)={{:((x^(4)-16)/(x-2)",","यदि"x ne 2),(" "16",","यदि" x = 2):}
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- निम्नलिखित फलनों के सांतत्यता की जाँच निर्दिष्ट बिन्दु पर कीजिए f(x)={...
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- क्या f(x)={{:(x+5",","यदि ",xle1),(x-5",","यदि ",xgt1):} द्वारा परिभाष...
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- निर्धारित कीजिए कि f(x)={{:(x^(2) "sin"(1)/(x)",","यदि",x ne 0),(" "...
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- फलन f के सांतत्य कि जाँच कीजिए, जहाँ f निम्नलिखित प्रकार से परिभाषित ह...
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- निम्नलिखित फलनों के सांतत्य कि जाँच कीजिए - (i) f(x) = x - 5 (ii) ...
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- f(x)={{:((sin 2 x)/(5x)",","यदि",x ne 0),(" "3k",","यदि",x = 0):}
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- f(x)={{:(kx + 5if ,x le 2),(x -1if,x gt 2):} तब k= ?
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- f(x)={{:(k(x^(2)+3x)",","यदि",x lt 0),(cos 2 x",","यदि",x ge 0):}
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- f(x)={{:(" "2",","यदि",x le 3),(ax + b",","यदि",3 lt x lt 5),(" "9",",...
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- f(x)={{:(" "4",","यदि",x le -1),(ax^(2)+b",","यदि",-1 lt x lt 0),(cos ...
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- f(x)={{:((sqrt(1+px)-sqrt(1-px))/(x)",","यदि",-1 le x lt 0),((2x+1)/(x...
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- f(x)={{:((k cos x)/(pi - 2x),",",x lt (pi)/(2)),(" "3,",",x = (pi)/(2)...
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- निम्नलिखित फलनों के सांतत्य पर विचार कीजिए - (i) f(x) = sin x + cos ...
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- दर्शाइये कि f(x) = cos x^(2) एक संतत फलन है ।
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- दर्शाइये कि f(x) = |cos x| एक संतत फलन है ।
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