Home
Class 12
MATHS
The value of lim(n->oo)((1.5)^n + [(1 + ...

The value of `lim(n->oo)((1.5)^n + [(1 + 0.0001)^(10000)]^n)^(1/n)`, where [.] denotes the greatest integer function is:

A

1

B

`1/2`

C

does'nt exist

D

2

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 4|4 Videos
  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 5|4 Videos
  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 2|5 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

the value of int_(0)^([x]) dx (where , [.] denotes the greatest integer function)

The value of lim_(xto0)(sin[x])/([x]) (where [.] denotes the greatest integer function) is

Evaluate int_0^a[x^n]dx, (where,[*] denotes the greatest integer function).

Solve lim_(xtooo) [tan^(-1)x] (where [.] denotes greatest integer function)

The value of lim_(nto oo)(sqrt(n^(2)+n+1)-[sqrt(n^(2)+n+1)]) where [.] denotes the greatest integer function is

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

The value of int_(1)^(10pi)([sec^(-1)x]) dx (where ,[.] denotes the greatest integer function ) is equal to

The value of int_(0)^(2)[x^(2)-x+1] dx (where , [.] denotes the greatest integer function ) is equal to

The value of int_(-1)^(3){|x-2|+[x]} dx , where [.] denotes the greatest integer function, is equal to

The value of lim_(n->oo) sum_(k=1)^n log(1+k/n)^(1/n) ,is