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lim(x rarr oo) {sqrt(x^(2) + 5x -7-x)} =...

`lim_(x rarr oo) {sqrt(x^(2) + 5x -7-x)} =`

A

A. `oo`

B

B. (1/2)

C

C. 4

D

D. 1

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The correct Answer is:
D
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HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
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  4. lim(x rarr pi/6) (2sin^(2)x + sin x-1)/(2sin^(2)x-3sinx -1) =

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  5. Let f(2)=4 and f'(2)=4. Then lim(xto2)(xf(2)-2f(x))/(x-2) is given b...

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  6. The value of the constant alpha and beta such that lim(x rarr oo) ((x^...

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  7. lim(theta rarr 0) (4 theta(tan theta-sin theta))/(1-cos 2 theta)^2 is

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  8. For x in R, lim(x rarr oo) ((x-3)/(x+2))^(x) is equal to :

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  9. lim(x rarr 0) (cos (sinx )-1)/x^(2) =

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  10. lim(x rarr -2) (sin^(-1)(x+2))/(x^(2)+2x) =

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  11. lim(n rarr oo) ((n^(2)-n+1)/(n^(2)-n-1))^(n(n-1) ) =

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  12. The value of lim(x rarr 0) (sqrt((1)/(2) (1-cos 2x)))/(x) is :

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  13. The value of lim(x rarr 0) (int(0)^(x^(2))cos t^(2)dt)/(x sin x) is :

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  14. lim(x rarr 0) (sin nx[(a-n)nx - tan x])/(x^(2)) = 0, where n is non-ze...

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  15. Let f(2)=4 and f'(2)=4. Then lim(xto2)(xf(2)-2f(x))/(x-2) is given b...

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  16. lim(x rarr oo) (logx^(n)-[x])/([x]), where n in N and [.] denotes the ...

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  17. Let f(a) = g(a) = k and their n^(th) order derivatives exist and are n...

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  18. Let f:R to R be a positive increasing function with lim(x to oo) (f(3x...

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  19. lim(x rarr 0) x^(2). sin (pi/x) is

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  20. If 0 lt x lt y, then lim(n rarroo)(y^(n)+x^(n))^(1/n) is equal to

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