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Evaluate lim(xrarr0)(1+tanx)^(3cotx)....

Evaluate `lim_(xrarr0)(1+tanx)^(3cotx)`.

A

`e^3`

B

`e^(-3)`

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
A
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PREMIERS PUBLISHERS-DIFFERENTIAL CALCULUS LIMITS AND CONTINUITY-PROBLEMS FOR PRACTICE
  1. Evaluate : lim(xrarrinfty)(27^x -9^x -3^x +1)/x

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  2. Choose the correct option for the following lim(thetararr0)sqrt[(1-...

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  3. Evaluate lim(xrarr0)(1+tanx)^(3cotx).

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  4. Choose the correct option for the following lim(xrarrinfty)[(x+3)/(...

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  5. Choose the correct option for the following lim(xrarrinfty)[tan^(-1...

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  6. Choose the correct option for the following lim(xrarr0)(2^x -1)/[sq...

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  7. Choose the correct option for the following lim(xrarr0)[tan(x-|x|)]...

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

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

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

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

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

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

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

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

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

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

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

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

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

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