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Evaluate the following : lim(x rarr 0...

Evaluate the following :
`lim_(x rarr 0) x cot 2x`.

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MODERN PUBLICATION-LIMITS AND DERIVATIVES-EXERCISE
  1. Evaluate the following : lim(x rarr 0)(sin 3x)/(sin 7x) .

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  2. Evaluate the following : lim(x rarr 0)(tan 2x)/x .

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  3. Evaluate the following : lim(x rarr 0) x cot 2x.

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  4. Evaluate the following : lim(x rarr 0) x sec x.

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  5. Evaluate the following : lim(x rarr oo) (cosx)/x .

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  6. Evaluate the following : lim(x rarr 0)(ax+x cosx)/(bsinx) .

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  7. Evaluate the following : lim(x rarr 0)(xtan4x)/(1-cos4x) .

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  8. Evaluate the following : lim(x rarr pi)(1+cosx)/(tan^2x) .

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  9. Evaluate the following : lim(x rarr 0)(sin ax+bx)/(ax+sin bx), a,b,...

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  10. Evaluate the following : lim(x rarr 0)(sin(2+x)-sin(2-x))/x .

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  11. Evaluate the following : lim(x rarr 0)((cos ax-cos bx)/x^2) .

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  12. Evaluate the following : lim(h rarr 0)(sin^2(x+h)-sin^2x)/h.

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  13. Evaluate the following : lim(x rarr 0)((a+x)^2 sin (a+x)-a^2 sina)/...

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  14. Evaluate the following : lim(x rarr pi/4)(cosec^2 x-2)/(cot x-1) .

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

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

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

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

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

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

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