Home
Class 12
MATHS
Evaluate lim(xto0)((1+5x^(2))/(1+3x^(2))...

Evaluate `lim_(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

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|40 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|4 Videos

Similar Questions

Explore conceptually related problems

lim_(x rarr0)((1+5x^(2))/(1+3x^(2)))^(1/x^(2))=

lim_(x rarr0)((5x^(2)+1)/(3x^(2)+1))^(1/x^(2))

Evaluate lim_(xto0) (e^(x^(2))-cosx)/(x^(2))

Evaluate: lim_(xto0)((1+x)^(6)-1)/((1+x)^(2)-1)

Evaluate lim_(xto1)(x^(2)-3x+2)/(x-1)

Evaluate lim_(xto0)((1+x)^(m)-1)/((1+x)^(n)-1)

Evaluate lim_(xto0) (e^(x)-1-x)/(x^(2)).

Evaluate lim_(xto0)(sqrt(1+x)-1)/(x)

Evaluate lim_(xto0) sin(picos^(2)x)/(x^(2)).

Evaluate lim_(xto0) (e-(1+x)^(1//x))/(x) .