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Evaluate the following limit: (lim)(x->o...

Evaluate the following limit: `(lim)_(x->oo)((x^2+2x+3)/(2x^2+x+5))^((3x-2)/(3x+2))\ `

A

`e^1//2`

B

`e^3//2`

C

`e^3`

D

none of these

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-LIMITS-Chapter Test
  1. The value of lim(x->oo)(pi/2-tan^(- 1)x)^(1/x^2), is

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  2. The value of lim(x->a) (sinx/sina)^(1/(x-a))=

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  3. Evaluate the following limit: (lim)(x->oo)((x^2+2x+3)/(2x^2+x+5))^((3x...

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  4. Evaluate: ("lim")(xvecoo)((a1^( 1/x)+a2^ (1/x)+ --+a n^(1/x))/n)^(n x)

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  5. The value of lim(xrarr0) ((sinx)/(x))^((sinx)/(x-sinx)), is

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  6. lim(x->1)[(x^3+2x^2+x+1)/(x^2+2x+3)]^((1-cos(x-1))/(x-1)^2)

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  7. The value of lim(xrarr0) (sinx)/(xqrt(x^2)), is

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  8. Let f:R to R be a differentiable function such that f(2)=2. Then, the ...

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  9. Let f''(x) be continuous at x = 0 and f"(0) = 4 then value of lim(x->0...

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  10. Let f : R to R be a differentiable function and f(1) = 4. Then, the va...

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  11. Find the values of aa n db in order that ("lim")(xvec0)(x(1+acosx)-bsi...

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  12. If lim(x->a)(f(x)/(g(x))) exists, then

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  13. Let f (2) = 4 f(2) = 4 Then Lt(x to 2) (x f(2) -2 f(x))/(x -2) is

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  14. lim(x->0) 1/x [inty ^a)e^(sin^2t) dt-int(x+y) ^a)e^(sin^2t)dt] is equ...

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  15. lim(xrarr oo) (int(0) ^(2x)xe^(x^(2))dx)/(e^(4x^2))

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  16. Evaluate underset(xto0)lim(3x+|x|)/(7x-5|x|).

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  17. Let alpha, beta (a lt b) be the roots of the equation ax^(2)+bx+c=0. I...

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  18. Given that lim(nto oo) sum(r=1)^(n) (log (r+n)-log n)/(n)=2(log 2-(1...

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  19. ("lim")(xvec0)((1^x+2x+3^x++n^x)/n)^(1//x)i se q u a lto (n !)^n (b)...

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  20. lim(x to 0) (x tan 2x -2x tan x)/((1- cos 2x)^(2)) equal

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