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Choose the correct option for the follo...

Choose the correct option for the following
`lim_(xrarrinfty)[(2x^2 +1)/(2x^2 +3)]^(4x^2 +6)` is :

A

`e^(-2)`

B

`e^2`

C

`e^4`

D

`e^(-4)`

Text Solution

Verified by Experts

The correct Answer is:
D
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PREMIERS PUBLISHERS-DIFFERENTIAL CALCULUS LIMITS AND CONTINUITY-PROBLEMS FOR PRACTICE
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  2. Choose the correct option for the following lim(xrarr0)[tan(x-|x|)]...

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  3. Choose the correct option for the following lim(xrarrinfty)[(2x^2 +...

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  4. Choose the correct option for the following lim(xrarr0)tan(x^5)/(ta...

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  5. Choose the correct option for the following lim(xrarr0)[sin^n (x/2)...

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  6. lim(xto0)(1-cos^(2)x)/(xsin2x)

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  7. Choose the correct option for the following lim(xrarrinfty) [sqrt(x...

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  8. Choose the correct option for the following lim(xrarr0)[sqrt(x^2 +1...

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  9. Choose the correct option for the following lim(xrarr9)[sqrt(x-4) -...

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  10. Choose the correct option for the following lim(xrarrinfty)[(x^2 +5...

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  11. For what value of k is this function f(x)={(x^3 -8)/(x-2) if xne 2 k ...

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  12. The point of discontiuity for f(x)={(x-2)^3 ,if xle0 (x+2)^3 ,if x...

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  13. Choose the correct option for the following lim(xrarrinfty)(1/n^3 +...

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  14. Let a function f be defined by f (x) =[x-|x|]/x for xne 0 and f(0)=2.T...

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  15. Let the function be defined as f(x)={4x 0ltxle1 (-4x+5) 1ltxlt2 th...

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  16. lim(xrarr0)[xe^(2x) +tanx]/x is :

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  17. Find lim(xrarr0)(xe^x -sin2x)/(2x)

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  18. The value of lim(xtok^(-))x-[x], where k is an integer

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  19. lim(nrarrinfty)(1/n^4 +8/n^4 +27/n^4 +64/n^4 +…)is:

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  20. lim(xrarr0)(sinmx)/(sinnx) is :

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