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 ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|39 Videos

  • LIMITS

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

  • INVERSE TRIGONOMETRIC FUNCTIONS

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

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

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

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

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

Evaluate lim_(xto0) (1-cos2x)/x^(2)

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

Evaluate lim_(xto0)(3^(2x)-2^(3x))/(x).

lim_(x rarr 0)((5x^2+1)/(3x^2+1))^(1//x^2)

Evaluate the following limits : Lim_( x to 0) ((1+5x^(2))/(1+3x^(2)))^(x^(1/2))

Evaluate lim_(xto0) (cos^(-1)((1-x^(2))/(1+x^(2))))/(sin^(-1)x).

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