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lim(x rarr0)(sqrt(4+x)-sqrt(5))/(x-1)...

`lim_(x rarr0)(sqrt(4+x)-sqrt(5))/(x-1)`

A

`(2)/(sqrt(3))`

B

`(1)/((3sqrt(3)))`

C

`(2)/((3sqrt(3)))`

D

`(1)/(sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
C
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PUNEET DOGRA-LIMIT-PREV YEAR QUESTIONS
  1. lim(x rarr0)(sqrt(4+x)-sqrt(5))/(x-1)

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  2. What is the value of lim(xto0)(sinx^(0))/(tan3x^(0)) ?

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  3. lim(xto0)(1-cos^(3)4x)/(x^(2)) equal to ?

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  4. What is lim(xto(pi)/(6))(2sin^(2)x+sinx-1)/(2sin^(2)x-3sinx+1) to ?

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  5. What is lim(thetato0)(sqrt(1-costheta))/(theta) equal to ?

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  6. If f(x)=sqrt(25-x^(2)) then what is lim(xto1)(f(x)-f(1))/(x-1)equa...

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  7. What is lim(hto0)(sqrt(2x+3h)-sqrt(2x))/(2h)equal to ?

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  8. What is lim(xto0)(tanx)/(sin2x) equal to ?

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  9. If x^(2)-6x-27gt0, then which one of the following is correct ?

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  10. What is lim(xto0)(e^(x)-(1+x))/(x^(2)) equal to ?

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  11. If F(x)=sqrt(9-x^(2)) then what is lim(xto1)(f(x)-F(1))/(x-1) equal...

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  12. verify the statement true or false.If underset(x to a) lim [f(x) g(x...

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  13. If f(x) = [x] - [x/4], x in R where [x] denotes the greatest integer f...

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  14. simplify

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  15. What is lim(xto0)e^((1)/(X^(2))) equal to ?

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  16. If lim(xto0)phi(x)=a^(2) . where ane0. then what is lim(xto0)((x)/(a...

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  17. If f(x)=sqrt(25-x^(2)) then what is lim(xto1)(f(x)-f(1))/(x-1)equa...

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  18. If f(x)=(sin(e^(x-2)-1))/(In(x-1)) then lim(xto2)(x) is equal to ?

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  19. If G(x)=sqrt(25-x^(2)) then what is lim(xto1)(G(x)-G(1))/(x-1) equ...

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  20. What is lim(x to 2)(x+2) ?

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  21. Given that lim(xtooo)((2+x^(2))/(1+x)-Ax-B)=3 What is the valu...

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