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Calculate lim(xrarrinfty)(x^3 +2x+5)/(3x...

Calculate `lim_(xrarrinfty)(x^3 +2x+5)/(3x^2 -6x +5)`

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The correct Answer is:
limit does not exist
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PREMIERS PUBLISHERS-DIFFERENTIAL CALCULUS LIMITS AND CONTINUITY-PROBLEMS FOR PRACTICE
  1. Calculate lim(xrarrinfty)(x^3 +2x+5)/(3x^2 -6x +5)

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  2. Evaluate :lim(xrarr0)[sqrt(x+4)-2]/x by filling the table.

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  3. Test the existance of the limit lim(x rarr 2)[3|x-2|+(x-2)]/|x-2| ,x ...

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  4. Find f[(-3)^-] and f[(-3)^+] if {f(x) = |x+3|/(x+3),xne0 f(0)=0,x-0

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  5. Choose the correct or the most suitable answer from the given four alt...

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  6. Evaluate : lim(xrarrinfty)[(3+x)^5 -3^5]/x

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  7. Evaluate : lim(nrarrinfty)(1^3 +2^3 +…+n^3)/[(1^2 +2^2 +…n^2)n]

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  8. Evaluate : lim(thetararr0)[(1-costheta)/(theta^2)].

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  9. Evaluate : lim(xrarr1)[root(3)(26+x^3 )-sqrt(15 +x^2)]/(x-1)

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  10. Evaluate : lim(xrarr0)[sqrt(x^2 +16) -4]/[sqrt(x^2 +9)-3]

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  11. Find lim(xrarrinfty)(3x^2 +2x -1)/[(x+5)(x-7)]

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  12. Find lim(xrarrinfty)(1+2+3+…+n)/(4n^2 -3n +1)

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  13. Evaluate lim(xrarrinfty)xsin(1/x)

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

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

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

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

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

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

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

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

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