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Evaluate lim(xrarr0)(4^x-1)/[sqrt(1+2x) ...

Evaluate `lim_(xrarr0)(4^x-1)/[sqrt(1+2x) -1]`

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PREMIERS PUBLISHERS-DIFFERENTIAL CALCULUS LIMITS AND CONTINUITY-PROBLEMS FOR PRACTICE
  1. Find lim[xrarr(pi/2)](1+cosx)^(3secx)

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  2. Find lim(xrarr0)[log(1+x) -x]/x

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  3. Evaluate lim(xrarr0)(4^x-1)/[sqrt(1+2x) -1]

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  4. Find lim(xrarr0)[sqrt(1+sin^2 2x)-sqrt(1-sin^2 2x)]/(xtan2x)

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  5. Find lim[xrarr(pi/2)](1+cosx)^(3secx)

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  6. Find the point of discontinuity f(x)={3x+5 ,if xle2 3x-5,if xgt2

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  7. For what value of a is the function is continues at x=2 f(x)={(x^4 -1...

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  8. A function f is defined as follows,is it continuous? f(x)={ 0,xlt0 x...

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  9. What is lim(xrarr0)[e^(x^2]-1]/(x^2)

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

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

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

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

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

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

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

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

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

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

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

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