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Evaluate Lt(x to 3)(x^2 + 3x + 2)/(x^2 -...

Evaluate `Lt_(x to 3)(x^2 + 3x + 2)/(x^2 - 6x + 9)`

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The correct Answer is:
`oo`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-LIMITS AND CONTINUITY-Exercise 8(d)
  1. Evaluate Lt(x to 3)(x^2 + 3x + 2)/(x^2 - 6x + 9)

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  2. Compute the following limits. Lt(xtooo)(1+4x^(2))/(1-x^(2))

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  3. Evaluate Lt(x to oo)(3x^(2) + 4x + 5)/(2x^2 + 3x - 7)

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  4. Compute the following limits. lim(x to oo) (6x^(2)-x+7)/(x+3)

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  5. Evaluate the following limits: Lt(x to oo) e^(-x^(2))

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  6. Compute the following limits. Lt(x to infty) (sqrt(x^(2) + 6))/(2x...

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  7. Compute the following limits. Lt(xtooo)(8|x|+3x)/(3|x|-2x)

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  8. Compute lim(x to infty)(x^(2)+5x+2)/(2x^(2)-5x+1)

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  9. Compute the following limits. lim(x to -oo) (2x^(2)-x+3)/(x^(2)-2x+3...

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  10. Evaluate Lt(x to oo)(11 x^3 - 3x + 4)/(13x^3 - 5x^2 - 7)

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  11. Evaluate the following limits. lim(xto2)1/(x-2)-4/(x^(2)-4)

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  12. Find Lt(x to -oo)(5x^3 + 4)/(sqrt(2x^4 + 1))

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  13. Evaluate the following limits. lim(x to oo)( sqrt(x+1)- sqrt(x))

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  14. Evaluate the following limits. Lt(xtooo)(sqrt(x^2+x)-x)

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  15. Compute the following limits. lim(x to oo) (2x+3)/(sqrt(x^(2)-1))

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  16. Compute the following limits. Lt(xtooo)(2+sinx)/(x^(2)+3)

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  17. Compute the following limits. lim(x to oo) (2+cos^(2)x)/(x+2007)

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  18. Compute the following limits. lim(x to oo) (6x^(2)-cos 3x)/(x^(2)+5)

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  19. Compute the following limits. Lt( x to oo)(c os x+sin^(2)x)/(x+1)

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