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Evaluate underset(xto0)lim(tanx-sinx)/(x...

Evaluate `underset(xto0)lim(tanx-sinx)/(x^(3)).`

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MODERN PUBLICATION-LIMITS AND DERIVATIVES-EXERCISE 13 (b)
  1. Evaluate the following limits : lim(theta to 0)(sin5theta-sin3theta)...

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  2. Evaluate the following limits: lim(xto0)((tanx-sinx))/(sin^(3)x)

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  3. Evaluate underset(xto0)lim(tanx-sinx)/(x^(3)).

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  4. Evaluate the following limits : lim(x to pi/2)(cotx-cosx)/(cos^(3)x...

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

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  6. Evaluate the following (10-17) limits : lim(x to 0)(sin2x+3x)/(4x-si...

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  7. lim(x->0)(sin2x+3x)/(2x+tan3x)

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  8. lim(x-gt0)(tan2x-sin2x)/(x^3)

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  9. Evaluate the following limits : lim(x to 0)(sin4x-tan4x)/x^(3)

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  10. Evaluate the following (10-17) limits : lim(x to pi//2)(cos^(2)x)/(1...

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  11. Evaluate the following (10-17) limits : lim(y to 0)((x+y)sec(x+y)-xs...

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  12. Evaluate the following limits: lim(xto(pi)/(4))((cosec^(2)x-2))/((co...

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  13. Evaluate the following (10-17) limits : lim(x to 0)(tan3x+x)/(2x+sin...

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  14. Evaluate the following limits : lim(theta to 0)((cosectheta-cottheta...

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  15. Evaluate the following (10-17) limits : 11. lim(x to 1) (1+cospix)/(1...

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  16. lim(x->pi/2)(1+cos2x)/((pi-2x)^2)

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  17. Evaluate the following limits : lim(theta to pi/2)(tan2theta)/(theta...

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

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  19. Evaluate the following (10-17) limits : lim(x to pi/2)(cotx)/(pi/2-x...

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  20. Evaluate lim(xto(pi)/(2))(cosx)/(((pi)/(2)-x)).

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