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lim(xto oo)cos(x/2)cos(x/4)cos(x/8)..cos...

`lim_(xto oo)cos(x/2)cos(x/4)cos(x/8)..cos(x/(2^(n)))`का मान है

A

1

B

`(sinx)/x`

C

`x/(sinx)`

D

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The correct Answer is:
B
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ERRORLESS HINDI-फलन, सीमा, सांतत्य तथा अवकलनीयता-SOLVED MULTIPLE CHOICE QUESTIONS (सीमा)
  1. lim(xto 2)5/(sqrt(2)-sqrt(x)) की सीमा है

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  2. lim(xto0)(x cos x-sinx )/(x^(2)sinx)=

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  3. lim(xto oo)cos(x/2)cos(x/4)cos(x/8)..cos(x/(2^(n)))का मान है

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  4. lim(n to oo)[(1^(3)+2^(3)+3^(3)+………….+n^(3))/(n^(4))]=

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  5. यदि a(1)=1 और a(n+1)=(4+3a(n))/(3+2a(n)), nge1 और यदि lim(nto oo)a(n)=...

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  6. lim(xto0)((1+x)^(1//2)-(1-x)^(1//2))/x=

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  7. lim(xto0)((1+x)^(8)-1)/((1+x)^(2)-1) का मान है

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  8. lim(xtoa)(sqrt(a+2x)-sqrt(3x))/(sqrt(3a+x)-2sqrt(x))=(a!=0)

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  9. lim(xto0)(sqrt(1+x)-sqrt(1-x))/(sin^(-1)x)=

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  10. lim(yto0)((x+y)sec(x+y)-x secx)/y=

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  11. lim(xto0)(x.2^(x)-x)/(1-cosx)=

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  12. lim(thetato 0)(1-cos theta)/(theta^(2))=

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  13. lim(theta to 0)(sin 3 theta-sin theta)/(sin theta)=

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  14. lim(xto 0)(tanx-sinx)/(x^(3))=

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  15. lim(xto1)(1-sqrt(x))/((cos^(-1)x)^(2))=

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  16. lim(xto0)(x^(2)-tan2x)/(tanx)=

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  17. lim(theta to0)(5 thetacos theta-2sin theta)/(3 theta+tan theta)=

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  18. lim(xto 0)(sin (2+x)-sin(2-x))/x

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  19. यदि S(n)=sum(k=1)^(n)a(k) तथा lim(nto oo)a(n)=a, तब lim(nto oo)(S(n+1)...

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  20. lim(n to oo)([1/(n^(3)+1)+4/(n^(3)+1)+9/(n^(3)+1)+…………+(n^(2))/(n^(3)+...

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