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Evaluate the following limits: lim(xra...

Evaluate the following limits:
`lim_(xrarr0)(sin4x)/(6x)`

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`2/3`
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RS AGGARWAL-LIMIT-EXERCISE 27B
  1. Evaluate the following limits: lim(xrarr0)(sin4x)/(6x)

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  2. Evaluate the following limits: lim(xrarr0)(sin5x)/(sin8x)

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  3. Evaluate the following limits: lim(xrarr0)(tan3x)/(tan5x)

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  4. Evaluate the following limits: lim(xrarr0)(tan alphax)/(tanbetax)

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  5. Evaluate the following limits: lim(xrarr0)(sin4x)/(6x)

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  6. Evaluate the following limits: lim(xrarr0)(tan3x)/(sin4x)

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  7. Evaluate the following limits: lim(xrarr0)(sinmx)/(tannx)

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  8. Evaluate the following limits: lim(xrarr0)((sinx-2sin3x+sin5x))/(x)

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  9. Evaluate the following limits: lim(xrarr pi//6)((2sin^(2)x+sinx-1))/...

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  10. Evaluate the following limits: lim(xrarr0)((sin2x+3x))/((2x+sin3x))

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  11. Evaluate the following limits: lim(xrarr0)((tan2x-x))/((3x-tanx))

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  12. Evaluate the following limits: lim(xrarr0)((x^(2)-tan2x))/(tanx)

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  13. Evaluate the following limits: lim(xrarr0)((xcosx+sinx))/((x^(2)+tanx...

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  14. Evaluate the following limits: lim(xrarr0)((tanx-sinx))/(sin^(3)x)

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  15. Evaluate the following limits: lim(xrarr0)(xcosecx)

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  16. Evaluate the following limits: lim(xrarr0)(x cot2x)

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  17. Evaluate the following limits: lim(xrarr0)(sinxcosx0)/(3x)

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  18. Evaluate the following limits: lim(xrarr0)(sin(x//4))/(x)

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  19. Evaluate the following limits: lim(xrarr0)(tan(x//2))/(3x)

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  20. Evaluate the following limits: lim(xrarr0)((1-cosx))/(sin^(2)x)

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