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यदि underset(x to oo)Lim x^(alpha) (sqrt...

यदि `underset(x to oo)Lim x^(alpha) (sqrt(x^(2)+sqrt(x^(4)+1))-sqrt2x)` विध्यमान है तथा मान अशून्य परिमित वास्तविक सख्या L है तो `alpha/L^2` का मान ज्ञात कीजिये

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BANSAL HINDI-फलन की सीमा सत्त्यता तथा अवकलनीयता -Exercise -1 Special DPP-3 [LIMIT]
  1. lim(xto oo)cos(x/2)cos(x/4)cos(x/8)..cos(x/(2^(n)))का मान है

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  2. underset(x to oo)Lim (arc tan ""(x+1)/(x+2) -arc tan ""x/(x+2))

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  3. underset(x to oo)Lim x(arc tan ""(x+1)/(x+2)-pi/4)

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  4. underset(x to 0)Lim (e^(alpha x-cos alpha x))/(e^(beta x)-cos beta x)

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  5. माना एक फलन f(x)=[{:(,1-x,0 le x le 1),(,x+2, 1 lt x lt 2),(,4-x, 2 le...

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  6. यदि f(x)=[(sin x)/(x)] +[(2 sin 2x)/(x)]+…….+[(10 sin 10x)/(x)] (जहाँ ...

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  7. underset(x to 0)Lim (5^(x).sqrt(1+2x)-cos x)/(x) बराबर है

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  8. फलन f(x)=(2 sqrt2-(cos x+sin x)^(3))/(1-sin 2x) का सीमांत मान है, जबकि...

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  9. underset(x to 2)Lim (sec^(x) theta -tan^(x) theta-1)/(x-2) का मान बराब...

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  10. यदि underset(x to 0)Lim (a^(sin x)-1)/(1+x-cos x)=underset(x to 1)Lim ...

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  11. alpha gt 0 के लिए माना underset(x to pi)Lim (tan 2x)/(x -pi)=underse...

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  12. यदि underset(x to 0)Lim ((4x-1)^(1/3) +a+bx)/(x) विध्यमान है तथा 1/3 क...

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  13. underset(x to 0)Lim (sin^(2) 4x+2 cos^2x-2 cosx)/(cos^(2) x-cos^(3)x)

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  14. यदि underset(x to oo)Lim x^(alpha) (sqrt(x^(2)+sqrt(x^(4)+1))-sqrt2x) ...

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