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Evaluate : lim(xrarrinfty)(27^x -9^x -3^...

Evaluate : `lim_(xrarrinfty)(27^x -9^x -3^x +1)/x`

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The correct Answer is:
`2(log3)^2`
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PREMIERS PUBLISHERS-DIFFERENTIAL CALCULUS LIMITS AND CONTINUITY-PROBLEMS FOR PRACTICE
  1. What is lim(xrarr0)[e^(x^2]-1]/(x^2)

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  2. Show that f(x)=|3x-2|/(3x-2) is continuous at x=2/3

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  3. Evaluate : lim(xrarrinfty)(27^x -9^x -3^x +1)/x

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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