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

Find `lim_(xrarrinfty)(1+2+3+…+n)/(4n^2 -3n +1)`

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

Choose the correct option for the following lim_(xrarrinfty)(1/n^3 +4/n^3 +9/n^3 +16/n^3 +…+1/n) is :

Choose the correct or the most suitable answer from the given four alternatives. lim_(nrarrinfty)[1/(n^2) +2/(n^2) +3/(n^2) +…+n/(n^2)] is :

Evaluate lim_(xrarrinfty)xsin(1/x)

PREMIERS PUBLISHERS-DIFFERENTIAL CALCULUS LIMITS AND CONTINUITY-PROBLEMS FOR PRACTICE
  1. Evaluate : lim(xrarr0)[sqrt(x^2 +16) -4]/[sqrt(x^2 +9)-3]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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