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

`lim_(xto 0)(sin (2+x)-sin(2-x))/x`

A

`sin2`

B

`2sin 2`

C

`2cos 2 `

D

2

लिखित उत्तर

Verified by Experts

The correct Answer is:
C
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ERRORLESS HINDI-फलन, सीमा, सांतत्य तथा अवकलनीयता-SOLVED MULTIPLE CHOICE QUESTIONS (सीमा)
  1. lim(xto0)(x^(2)-tan2x)/(tanx)=

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

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

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

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  6. lim(xto pi//4)(sqrt(2)cosx-1)/(cotx-1)=

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  7. lim(xto a)(cos x-cos a)/(cotx-cota)=

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  8. lim(hto 0)(2[sqrt(3)sin((pi)/6+h)-cos((pi)/6+h)])/(sqrt(3)h(sqrt(3)cos...

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  9. lim(xto 0)x^(x)=

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  10. lim(x to oo)((2x+1)^(40)(4x-1)^(5))/((2x+3)^(45))=

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  11. lim(xto 0)[x/(tan^(-1)2x)] =

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  12. lim(xto 0) (1-cos x)/(sin^(2)x)=

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

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  14. lim(xto pi//2)(cotx-cotx)/((x-2x)^(3)) बराबर है

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  15. माना f:RtoR एक अवकलनीय फलन f(2)=6,f’(2)=(1/48) रखता है तब lim(xto2)in...

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  16. नियतांक alpha और beta के मान क्रमशः ह जबकि lim(xto oo)((x^(2)+1)/(x+1...

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  17. यदि f(x)={(x,जब xgt1),(x^(2), जब xlt1):} तो lim(xto1)f(x)=

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  18. lim(nto oo)1/(1.3)+1/3.5+1/5.7+1/.79+……..+1/((2n-1)(2n+1)) का मान है

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  19. lim(xto0)(e^(tanx)-e^(x))/(tanx-x)=

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  20. यदि f(x)=sqrt((x-sinx)/(x+cos^(2)x)) तो lim(xto oo)f(x)=

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