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Evaluate the following limits: lim(xr...

Evaluate the following limits:
`lim_(xrarr3)((x^(2)+9)/(x+3))`

A

3

B

1/6

C

9

D

6

Text Solution

Verified by Experts

The correct Answer is:
A
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RS AGGARWAL-LIMIT-EXERCISE 27A
  1. Evaluate the following limits: lim(xrarr2)(5-x)

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  2. Evaluate the following limits: lim(xrarr1)(6x^(2)-4x+3)

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  3. Evaluate the following limits: lim(xrarr3)((x^(2)+9)/(x+3))

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  4. Evaluate the following limits: lim(xrarr3)((x^(2)-4x)/(x-2))

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  5. Evaluate the following limits: lim(xrarr5)((x^(2)-25)/(x-5))

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  6. Evaluate the following limits: lim(xrarr1)((x^(3)-x)/(x-1))

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  7. Evaluate the following limits: lim(xrarr-2)((x^(3)+8)/(x+2))

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  8. Evaluate the following limits: lim(xrarr3)((x^(3)-27)/(x-3))

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  9. Evaluate the following limits: lim(xrarr3)((x^(2)-4x+3)/(x^(2)-2x-3))

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  10. Evaluate the following limits: lim(xrarr1/2)((4x^(2)-1)/(2x-1))

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  11. Evaluate the following limits: lim(xrarr4)((x^(3)-64)/(x^(2)-16))

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  12. Evaluate the following limits: lim(xrarr2)((x^(5)-32)/(x^(3)-8))

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  13. Evaluate the following limits: lim(xrarra)((x^(5//2)-a^(5//2))/(x-a))

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  14. Evaluate the following limits: lim(xrarra){((x+2)^(5//3)-(a+2)^(5//...

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  15. Evaluate the following limits: lim(xrarr1)((x^(n)-1)/(x-1))

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  16. Evaluate the following limits: lim(xrarra)((sqrtx-sqrta)/(x-a)).

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  17. Evaluate the following limits: lim(hto0)((sqrt(1+h)-1)/(h))

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  18. lim(h rarr 0)1/h(1/(sqrt(x+h))-1/(sqrt(x)))

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  19. Evaluate the following limits: lim(xrarr0)((sqrt(x+h)-sqrtx)/(x))

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  20. Evaluate the following limits: lim(xrarr0)((sqrt(2-x)-sqrt(2+x))/(x))

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