Home
Class 11
MATHS
Evaluate the following limits : Lt(nto...

Evaluate the following limits :
`Lt_(ntooo)(1^(2)+2^(2)+3^(2)+......+n^(2))/n^(3)`

Text Solution

Verified by Experts

The correct Answer is:
`1/3`
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    AAKASH SERIES|Exercise EXERCISE-2.7|19 Videos

  • LIMITS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|33 Videos

  • LIMITS

    AAKASH SERIES|Exercise EXERCISE-2.5 (SHORT ANSWER QUESTIONS)|8 Videos

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIOS)|5 Videos

  • LOCUS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following limits : Lt_(xtooo)(1+2/x)^(3x)

Evaluate the following limits : Lt_(xtooo)(1+1/x)^(2x)

Evaluate the following limits : Lt_(xto-oo)e^2(x^(2))

Evaluate the following limits : Lt_(ntooo)(1^(3)+2^(3)+3^(3)+......+n^(3))/(n^(2)(n^(2)+1))

Evaluate the following limits. Lt_(xto1)(x^(2)+2x+3)

Evaluate the following limits: lim_(x to oo) (1^(2)+2^(3)+3^(2)+...+n^(3))/(n^(2)(n^(2)+1)

Evaluate the following limits. Lt_(xto0)1/(x^(2)-3x+2)

Evaluate Lt_(ntooo)(1^(2)+2^(2)+3^(2)+......+n^(2))/n^(3) .

Evaluate the following limits : Lt_(xto0)((1^(x)+2^(x)+.........+n^(x))/n)^(n/x)

Evaluate the following limits. Lt_(x to0)(1)/(x^(2)-3x+2)