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Evaluate lim(x-> 0) (tan3x-2x)/(3x- sin^...

Evaluate `lim_(x-> 0) (tan3x-2x)/(3x- sin^2 x)`

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RD SHARMA ENGLISH-LIMITS-All Questions
  1. Evaluate the following limit: (lim)(x->0)(5xcosx+3sinx)/(3x^2+tanx)

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  2. Evaluate the following limit: (lim)(x->0)(sin5x-sin3x)/(sinx)

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  3. Evaluate lim(x-> 0) (tan3x-2x)/(3x- sin^2 x)

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  4. lim(x->0)(1-cos2x+tan^2x)/(xsinx)

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  5. Evaluate the following limit: (lim)(x->0)(x^2-t a n2x)/(t a n x)

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  6. Evaluate the following limit: (lim)(x->0)(xtanx)/(1-cos x)

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  7. Evaluate the following limit: (lim)(x->0)(sin2x(cos3x-3cos x))/(x^3)

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  8. Evaluate the following limit: (lim)(x->0)(x^3cotx)/(1-cos x)

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  9. Evaluate the following limit: (lim)(x->0)(sin(3+x)-sin(3-x))/x

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  10. lim(x->0)(tan8x)/(sin2x)

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  11. lim(x->0)(sin5x)/(tan3x)

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  12. lim(x->0)(7xcosx-3sinx)/(4x+tanx)

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  13. Evaluate the following limit: (lim)(x->0)(tan^2 3x)/(x^2)

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  14. Evaluate the following limit: (lim)(x->0)(3sin2x+2x)/(3x+2tan3x)

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  15. Evaluate the following limit: (lim)(theta->0)(sin3theta)/(tan2theta)

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  16. Evaluate the following limit: (lim)(x->0)(sin^2 4x^2)/(x^4)

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  17. Evaluate the following limit: (lim)(x->0)(2x-s in x)/(tanx+x)

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  18. Evaluate the following limit: (lim)(x->0)(sin3x-sin x)/(sinx)

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  19. Evaluate the following limit: (lim)(x->0)(cos3x-cos5x)/(x^2)

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  20. Evaluate the following limit: (lim)(x->0)(sin(2+"x")-"sin"(2-"x"))/"x"

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