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

Evaluate the following limits :
`Lt_(xto0)((1+5x^(2))/(1+3x^(2)))^(1/x^(2))`

Text Solution

Verified by Experts

The correct Answer is:
`e^(2)`
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|33 Videos
  • LIMITS

    AAKASH SERIES|Exercise SOLVED EXAMPLES|57 Videos
  • LIMITS

    AAKASH SERIES|Exercise EXERCISE-2.6|9 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_(xto0)e^(x)

Evaluate the following limits : Lt_(xto0)(1+x)^(3)

Evaluate the following limits : Lt_(xto0)((1+x)e^(x)-1)/x

Evaluate the following limits : Lt_(xto0)(2^(x)-3^(x))/x

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

Evaluate the following limits : Lt_(xto0)(2^(2x)-1)/x

Evaluate the following limits : Lt_(xto0)(log(1+x))/x

Evaluate the following limits : Lt_(xto0)(e^(-2x)-1)/x

Evaluate the following limits : Lt_(xto0)(1+3x)^(4//x)

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