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निकालें lim(xrarr0)(3sinx-sin 3x)/(x(cos...

निकालें `lim_(xrarr0)(3sinx-sin 3x)/(x(cos 2x-cos 4x))`

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The correct Answer is:
`(2)/(3)`
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KC SINHA-फलन की सीमा -EXERCISE 24.2
  1. निकालें lim(xrarr0) (tan^(2)x-sin^(2)x)/(x^(4))

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  2. निकालें lim(x to 0)(tan2x-sin 2x)/(x^(3))

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  3. निकालें lim(xrarr0)(3sinx-sin 3x)/(x(cos 2x-cos 4x))

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  4. निकालें lim(xrarr0)(cos ax-cos bx)/(cos x-1)

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  5. निकालें lim(alpha rarr0) (sin alpha^(n))/((sin alpha)^(m)), n gt m gt0

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  6. निकालें lim(hto 0)(sin(a+3h)-3sin(a+2h)+3sin(a+h)-sina)/(h^(3))

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  7. निकालें lim(hto0)(tan(a+2h)-2tan(a+h)+tan a)/(h^(2))

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  8. निकालें lim(xrarr(pi)/(2)) ((pi)/(2)-x)tanx

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  9. निकालें lim(xrarr(pi)/(2))(tan2x)/(x-(pi)/(2))

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  10. निकालें lim(xrarr(pi)/(2)) (1-sinx)/(cosx)

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  11. निकालें lim(xto(pi)/(2))(2cos x)/(pi-2x)

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  12. निकालें lim(x to pi)(sin(pi-x))/(pi(pi-x))

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  13. निकालें lim(x to(pi)/(2))(1-sinx)/(((pi)/(2)-x)cosx)

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  14. निकालें lim(xrarr1)(1-x)tan.(pix)/(2)

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  15. निकालें lim(xrarrpi)(1+cosx)/(tanx)

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  16. निकालें lim(xrarr1) (cos pix//2)/(1-sqrtx)

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  17. lim(theta to pi//4)(1-tan theta)/(1-sqrt2sin theta)=??

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  18. निकालें lim(y to a)sin.(y-a)/(2)tan.(piy)/(2a)

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  19. निकालें lim(theta rarr(pi)/(2)) (sec theta-tan theta)/(pi-2theta)

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  20. निकालें lim(theta-(pi)/(2))(cot theta - cos theta)/(cos^(3)theta)

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