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lim(x rarr oo)[(x^(2) + x + 3)/(x^(2) - ...

`lim_(x rarr oo)[(x^(2) + x + 3)/(x^(2) - x + 2)]^x =`

A

`oo`

B

e

C

`e^(4)`

D

`e^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-EAMCET - 2016 TS-Questions
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  4. continuous at x = 0 Let f(x) = {{:((1 + |sin x| )^((a)/(|sin x|)), ...

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  5. lim(x rarr oo)[(x^(2) + x + 3)/(x^(2) - x + 2)]^x =

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  11. For the ellipse given by ((x-3)^(2))/(25) + ((y-2)^(2))/(16) = 1, matc...

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  12. The points of intersection of the parabolas y^(2) = 5x and x^(2) = 5y ...

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  13. From a point (C, 0) three normals are drawn to the parabola y^(2) = x....

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  14. The radical centre of the circles x^(2) + y^(2) = 1, x^(2) + y^(2) - 2...

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  15. If the circles x^(2) + y^(2) - 2lambda x - 2y - 7 = 0 and 3(x^(2) + y^...

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  19. The combined equation of three sides of a triangle is (x^(2)-y^(2))(2...

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  20. The equation on the pair of straight lines through the point (1, 1) an...

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