Home
Class 11
MATHS
lim(xtooo)(1+3/x)^(x+2)...

`lim_(xtooo)(1+3/x)^(x+2)`

Text Solution

Verified by Experts

The correct Answer is:
`e^3`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS LIMITS AND CONTINUITY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 9.5|34 Videos
  • DIFFERENTIAL CALCULUS LIMITS AND CONTINUITY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 9.6|25 Videos
  • DIFFERENTIAL CALCULUS LIMITS AND CONTINUITY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 9.3|13 Videos
  • DIFFEREMTIAL CALCULUS DIFFERENTIABILITY AND METHODS OF DIFFERENTITAION

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|73 Videos
  • EXAMINATION QUESTION PAPER MARCH 2019

    PREMIERS PUBLISHERS|Exercise PART -IV|4 Videos

Similar Questions

Explore conceptually related problems

lim_(xtooo)(1/x+2)

lim_(xtooo)(1+1/x)^(7x)

lim_(xtooo)(1+k/x)^(m/x)

lim_(xtooo)(sinx)/x

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

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

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

Let f :RtoR be a positive, increasing function with lim_(xtooo) (f(3x))/(f(x))=1 . Then lim_(xtooo) (f(2x))/(f(x)) is equal to

lim_(xtooo)(a^(x)-b^(x))/x=

Show that lim_(xtooo)(1^(2)+2^(2)+...+(3n)^(2))/((1+2+...+5n)(2n+3))=9/25