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निकालें lim(xrarr0) (1-cos kx)/(x^(2)),(...

निकालें `lim_(xrarr0) (1-cos kx)/(x^(2)),(k ne0)`

लिखित उत्तर

Verified by Experts

The correct Answer is:
`(k^(2))/(2)`
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KC SINHA-फलन की सीमा -EXERCISE 24.2
  1. निकालें lim(x to 0)(cos 7x-cos 9x)/(cos 3x-cos 5x)

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

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  3. निकालें lim(xrarr0) (1-cos kx)/(x^(2)),(k ne0)

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  4. निकालें lim(xto0)(1-cos2x)/(x^(2))

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  5. निकालें lim(xrarr0) (1-cos 4x)/(1-cos 5x)

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  6. निकालें lim(xto0)(cos 2x-1)/(cos x-1)

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  7. निकालें lim(xrarr0)(1-cosmx)/(1-cos nx), जहाँ m और n स्थिर अशून्य वास्...

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  8. निकालें lim(x to 0)(tanx-sinx)/(sin^(3)x)

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  9. निकालें lim(xrarr0) (2sinx-sin 2x)/(x^(3))

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  10. निकालें lim(x to 0)(sin(2+x)-sin(2-x))/(x)

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  11. निकालें lim(x to 0)(tanx-sinx)/(x^(2))

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  12. निकालें lim(xrarr0) (1-secx)/(x^(2))

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  13. निकालें lim(x to 0)(1-cos theta)/(sin^(2)2theta)

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  14. निकालें lim(xrarr0) (tan^(2)x-sin^(2)x)/(x^(4))

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

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

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

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

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

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

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