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Evaluate the following limits: lim((1-...

Evaluate the following limits:
`lim((1-cos2x))/(3tan^(2)x)`

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The correct Answer is:
`2/3`
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RS AGGARWAL-LIMIT-EXERCISE 27B
  1. Evaluate the following limits: lim(xrarr0)((1-cos3x))/(x^(2))

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  2. Evaluate the following limits: lim(xrarr0)((1-cos2x))/(sin^(2)2x)

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  3. Evaluate the following limits: lim((1-cos2x))/(3tan^(2)x)

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  4. Evaluate the following limits: lim(xrarr0)((1-cos2x))/((1-cos6x))

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  5. Evaluate, underset(xrarr0)"lim"(1-cosmx)/(1-cosnx)

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  6. Evaluate underset(xrarr0)"lim"(2sinx-sin2x)/(x^(3))

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

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  8. Evaluate the following limits: lim(xrarr0)((tan2x-sin2x))/(x^(3))

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  9. lim(xrarr0)("cosec"x-cotx)/(x) is equal to

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  10. Evaluate the following limits: lim(xrarr0)((cot2x-cosecex))/(x)

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  11. Evaluate the following limits: lim(xrarr0)((cosecx-cotx))/(x^(3))

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  12. lim(xrarr(pi//4))(sec^(x)-2)/(tanx-1) is

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  13. Evaluate the following limits: lim(xrarr(pi)/(4))((cosec^(2)x-2))/((...

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  14. Evaluate the following limits: lim(xrarr (pi)/(4))(tanx-1)/((x-(pi)/(...

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  15. lim(x->pi)((sin3x-3sinx)/((pi-x)^3))

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  16. Evaluate: ("lim")(xvecpi/2)(1+cos2x)/((pi-2x)^2)

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  17. Evaluate the following limits: lim(xrarra)((sinx-sina))/((x-a))

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  18. Evaluate the following limits: lim(xrarra)((sinx-sina))/((x-a))

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  19. Evaluate the following limits: lim(xrarra)((sinx-sina))/((sqrtx-sqrta...

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  20. Evaluate the following limits: lim(xrarr0)((sin5x-sin3x))/(sinx)

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