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Using the epsilon- delta definition prov...

Using the `epsilon- delta` definition prove that `lim_(xto9)sqrt x= 3`

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Using the epsilon- delta definition prove that lim_(xtoa)sqrtx= sqrta, agt0

Using the epsilon- delta definition prove that lim_(xto0)(2x+3) = 3

Using the epsilon- delta definition prove that lim_(xto-2)(3x+8) = 2

Using the epsilon- delta definition prove that lim_(xto2)|5x -7| = 3

Using the epsilon- delta definition prove that lim_(xto1)|3x +2| = 5

Using the epsilon- delta definition prove that lim_(xto1)(2x-1) = 1

Using the epsilon- delta definition prove that lim_(xto3)(x^2 + 2x-8) = 7

lim_(xto1)(sqrt x + 3)

Prove that lim_(xtoa) x=a

lim_(xtosqrt3)[x]

MBD PUBLICATION-LIMIT AND DIFFERENTIATION-QUESTION BANK
  1. Using the epsilon- delta definition prove that lim(xto-2)(3x+8) = 2

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  2. Using the epsilon- delta definition prove that lim(xto3)(x^2 + 2x-8) =...

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  3. Using the epsilon- delta definition prove that lim(xto9)sqrt x= 3

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  4. Using the epsilon- delta definition prove that lim(xtoa)sqrtx= sqrta, ...

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  5. Using the epsilon- delta definition prove that lim(xto1)|3x +2| = 5

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  6. Using the epsilon- delta definition prove that lim(xto2)|5x -7| = 3

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  7. If lim(xtoa)f(x)=l then prove that lim(xtoa)|f(x)|=|l| Is the co...

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  8. Prove that lim(xtoa) x=a

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  9. Using lim(xtoa) x=a and the laws of limits prove that lim(xtoa)x^n =a^...

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  10. Evaluate the following lim(xto1) (1+2x-3x^2+4x^3-5x^4)

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  11. Evaluate the following lim(xto0) (3x^2 +4x -1) (x^4+2x^3-3x^2 +5x+2)

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  12. Evaluate the following lim(xto2) (x^2 +3x -9)/(x+1)

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  13. Evaluate the following lim(xto3) (x^2 -9)/(x-3)

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  14. Evaluate the following lim(xto1) (x^3 -1)/(x-1)

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  15. Evaluate the following lim(xto2) (x -2)/(x^4-16)

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  16. Evaluate the following lim(xto2)(x^3-8)/(x^5-32)

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  17. Evaluate the following lim(xto3)(x^2+2x-15)/(x^2-x-6)

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  18. Evaluate the following lim(xto0)((3+x)^3-27)/x

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

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  20. Evaluate the following lim(xto1)1/(x-1){1/(x+3)-2/(3x+5)}

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