Home
Class 12
MATHS
Evaluate lim(xtooo)(1+2/x)^(x)...

Evaluate `lim_(xtooo)(1+2/x)^(x)`

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

Evaluate lim_(xtooo)((x+2)/(x+1))^(x+3).

Evaluate lim_(xtooo) ((x^(2)+x-1)/(3x^(2)+2x+4))^((3x^(2)+x)/(x-2))

Evaluate lim_(xtooo) x^((1)/(x)).

Evaluate lim_(xtooo) 2^(x-1)tan((a)/(2^(x))).

Evaluate lim_(xtooo) [x(a^(1//x)-1)],agt1

Evaluate lim_(xtooo)((x-3)/(x+2))^(x)

Evaluate lim_(xtooo)(2^(-x)sin(2^(x)))

Evaluate lim_(xtooo) ((7x^(2)+1)/(5x^(2)-1))^((x^(5))/(1-x^(3))).

Evaluate lim_(xtooo)[(x^(4)sin((1)/(x))+x^(2))/((1+|x|^(3)))].

Evaluate lim_(xtooo) x^(3){sqrt(x^(2)+sqrt(1+x^(4)))-xsqrt(2)}.