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f(x) = {:{ (-2," यदि " x le -1 ) , (2x...

` f(x) = {:{ (-2," यदि " x le -1 ) , (2x," यदि " -1 lt x le 1 ),(2," यदि " x lt 1 ):}`संतत है अथवा असंतत ।

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MANOHAR RAY-सततता तथा अवकलनीयता -प्रश्नावली 5(A)
  1. f(x) = {:{(3,"if "0 le x le 1),(4,"if "1 lt x lt 3),(5,"if " 3 le...

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  2. f(x) = {:{(2x,"यदि "x lt 0),(0,"यदि " 0 le x le 1 ),(4x,"यदि"x gt 1...

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  3. f(x) = {:{ (-2," यदि " x le -1 ) , (2x," यदि " -1 lt x le 1 ),(2," य...

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  4. दिखाइए कि f(x) = {:{( 1/(1-e^(1//x)), x != 0),(0,x=0 ):} पर फलन असं...

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  5. f(x) = {:{((x^(2)-4)/(x-2),x !=2 ),(4,x=2 " पर संतत है अथवा असंतत ।")...

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  6. f(x) = {:{(2x+3," यदि " x le 2 ),(2x-3," यदि "x gt2):}

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  7. f(x) = {:(2x+3," यदि " x le 2 ),(2x-3," यदि "x gt2):}

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  8. f(x)= {:{(|x|+3," "x le -3),(-2x," " -3 lt x lt 3 ),(6x+2," " x ge 3 )...

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  9. f (x) = {:{((|x|)/x," यदि " x !=0),(0," यदि " x=0):}

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  10. f(x) ={: (x+1,"यदि " x le 1), (x^(2) +1 ,"यदि " x lt1):}

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  11. f(x) = {:(x^(3)-3," यदि " x le 2 ),(x^(2)+1," यदि "x gt 2):}

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  12. f(x) {:(x^(10) -1,"यदि " x le 1),(x^(2) ,"यदि " x gt 1 ):}

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  13. f(x) = {:(3x^(2)-2x-1)/(x-2)^(2),x!=1:} तथा "f(1)=k को क्या मान दिय...

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  14. यदि f(x) = {:{((x^(3) + x^(2)-16x+ 20)/(x-2)^(2),x!=0),(k,x=0):} तथा ...

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  15. f(x) = {:{(0," " 0lt x lt 1),(x," " 1 le x lt 2),(x^(3)/4," " 2 le x l...

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  16. क्या f(x) = {:{(x+5," " x le 1 ),(x-5," " x gt 1 ):} द्वारा परिभा...

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  17. a और b के उन मानो को ज्ञान ज्ञात कीजिए जिनके लिए f(x) = {(ax+1," ...

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  18. lambda के किस मान के लिए f(x) = {:{(lambda (x^(2)-2x),"यदि " x l...

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  19. f के सभी असंतत्यता के बिन्दुओ को ज्ञात कीजिए , जहाँ f(x) = {:{(...

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  20. निर्धारित कीजिए कि फलन f f(x) = {: {(x^(2)sin .(1)/x, " यदि " x !=...

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