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Evaluate the following limit if they exi...

Evaluate the following limit if they exist :
`lim_(x rarr 2) (x^2-4)/(x^3-4x^2+4x)` .

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MODERN PUBLICATION-LIMITS AND DERIVATIVES-EXERCISE
  1. Evaluate the following limit if they exist : lim(x rarr 3) (x^2-4x)/...

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  2. Evaluate the following limit if they exist : lim(x rarr 2) (x^3-4x^2...

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  3. Evaluate the following limit if they exist : lim(x rarr 2) (x^2-4)/(...

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  4. Evaluate the following limit if they exist : lim(x rarr -1) (x^3-3x+...

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  5. Evaluate the following limit if they exist : lim(x rarr 0) ((x-1)^2+...

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  6. Evaluate the following limit if they exist : lim(x rarr -1) [1+x+x^2...

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  7. Evaluate the following limit : lim(x rarr 1) (x-1)/(x+1) .

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  8. Evaluate the following limit : lim(x rarr -2) (1/x+1/2)/ (x+2).

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

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  10. Evaluate the following limit : lim(x rarr 1) (x^3-1)/ (x-1) .

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  11. Evaluate the following limit : lim(x rarr 2) (x^3-8)/(x^2-4) .

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  12. Evaluate the following limit : lim(x rarr 2) (x^3-2x^2)/ (x^2-5x+6).

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  13. Evaluate the following limit : lim(x rarr 1/2)(4x^2-1)/ (2x-1) .

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  14. Evaluate the following limit : lim(x rarr 2) (3x^2-x-10)/ (x^2-4).

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  15. Evaluate the following limit : lim(x rarr 5)(x^2-9x+20)/ (x^2-6x+5) ...

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  16. Evaluate the following limit : lim(x rarr 1)[(x-2)/(x^2-x) -1/(x^3-3...

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  17. Evaluate the following limit : lim(x rarr -1) (x^3+1)/ (x+1) .

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  18. Evaluate the following limit : lim(x rarr 3)(x^4-81)/ (2x^2-5x-3).

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  19. If lim(x rarr a)(x^9+a^9)/(x+a)=9, find the real value of a.

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  20. Evaluate the left-hand and right-hand limits of the a following functi...

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