Home
Class 12
MATHS
Evaluate: ("lim")(nvecoo)[(n !)/(n^n)]^(...

Evaluate: `("lim")_(nvecoo)[(n !)/(n^n)]^(1//n)`

A

(a) `1/e`

B

(b) `e^0`

C

(c) `e^(2)`

D

(d) `1/(e^(2))`

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    ARIHANT MATHS|Exercise SOLVED EXAMPLES|1 Videos
  • LIMITS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|38 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)_(nvecoo)[1/(n a)+1/(n a+1)+1/(n a+2)++1/(n b)] a. log(a/b) b. log(b/a) c. log(ab) d. None of these

The value of ("lim")_(nvecoo)sum_(r=1)^(4n)(sqrt(n))/(sqrt(r)(3sqrt(r)+sqrt(n))^2) is equal to 1/(35) (b) 1/4 (c) 1/(10) (d) 1/5

evaluate lim_(n->oo)((e^n)/pi)^(1/ n)

Evaluate lim_(ntooo)(pin)^(2//n)

The value of lim_(n to oo)((n!)/(n^(n)))^((2n^(4)+1)/(5n^(5)+1)) is equal

Evaluate lim_(nto oo)((n+2)!+(n+1)!)/((n+2)!-(n+1)!)

Evaluate lim_(nrarrinfty)((1)/(2n+1)+(1)/(2n+2)+......+(1)/(6n)) .

The value of lim_(nto oo)(a^(n)+b^(n))/(a^(n)-b^(n)), (where agtb) is

If ("lim")_(nvecoo)1/((sin^(-1)x)^("n")+1)=1,t h e n find the value of x

("lim")_(xvec0)(1n(1+2h)-21 n(1+h))/(h^2)=____