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Evaluate the following limit : lim(x ...

Evaluate the following limit :
`lim_(x rarr 0)(tanx-sin x)/(sin^3 x)` .

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Evaluate the following limit : lim_(x rarr 0)(sin 3x-sinx)/(sinx) .

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MODERN PUBLICATION-LIMITS AND DERIVATIVES-EXERCISE
  1. Evaluate the following limit : lim(x rarr 0)(sin 3x-sinx)/(sinx) .

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  2. Evaluate the following limit : lim(x rarr 0)(sin 5x-sin 3x)/(sinx) ...

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  3. Evaluate the following limit : lim(x rarr 0)(tanx-sin x)/(sin^3 x) ...

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  4. Evaluate the following limit : lim(x rarr 0)(tanx-sin x)/(x^3) .

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  5. Evaluate the following limit : lim(x rarr pi/2)(cotx-cosx)/(cos^3 x...

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  6. Evaluate the following limit : lim(x rarr 0)(tan3x-2x)/(3x-sin^2 x)...

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  7. Evaluate the following limit : lim(x rarr 0)(sin 2x + 3x)/(4x-sin 5...

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  8. Evaluate the following limit : lim(x rarr 0)(sin 2x + 3x)/(2x+sin 3...

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  9. Evaluate the following limit : lim(x rarr 0)(tan 2x-sin 2x)/x^3 .

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  10. Evaluate the following limit : lim(x rarr 0)(sin 4x - tan 4x)/x^3 .

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  11. Evaluate the following limit : lim(x rarr pi//2)(cos^2 x)/(1-sinx) ...

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  12. Evaluate the following limit : lim(x rarr 0)(cosec x -cot x) .

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  13. Evaluate the following limit : lim(y rarr 0)((x + y) sec (x + y)-x ...

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  14. Evaluate the following limit : lim(x rarr 0)(tan 3x +x)/(2x+sin4x) ...

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  15. Evaluate the following limit : lim(x rarr 0)((cosec x -cot x)/x) .

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  16. Evaluate the following limit : lim(x rarr 1)(1+cos pi x)/(1-x)^2 .

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  17. Evaluate the following limit : lim(x rarr pi/2)(1+cos2x)/(pi-2x)^2 ...

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  18. Evaluate the following limit : lim(x rarr pi/2)(tan 2x)/(x-pi/2) .

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  19. Evaluate the following limit : lim(x rarr pi)(sin 3x -3sinx)/(pi-x)...

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  20. Evaluate the following limit : lim(x rarr pi/2)(cot x)/(pi/2-x) .

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