Home
Class 12
MATHS
lim (xto 0^(+)) [1+ [x]] ^(2//x), where ...

`lim _(xto 0^(+)) [1+ [x]] ^(2//x),` where [.] is greatest integer function, is equal to :

A

0

B

1

C

`e ^(2)`

D

Does not exist

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LIMIT

    VK JAISWAL ENGLISH|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|16 Videos

  • LIMIT

    VK JAISWAL ENGLISH|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|8 Videos

  • INVERSE TRIGONOMETRIC FUNTIONS

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|6 Videos

  • LOGARITHMS

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|19 Videos

Similar Questions

Explore conceptually related problems

lim_(x->0) [1+[x]]^(2/x), where [:] is greatest integer function, is equal to

Lt_(xto2) [x] where [*] denotes the greatest integer function is equal to

lim_(xto0)[(-2x)/(tanx)] , where [.] denotes greatest integer function is

lim_(xto1) (xsin(x-[x]))/(x-1) , where [.] denotes the greatest integer function, is equal to

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

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

lim_(xrarr0) x^8[(1)/(x^3)] , where [.] ,denotes the greatest integer function is

lim_(xrarr oo) (logx)/([x]) , where [.] denotes the greatest integer function, is

int_(0)^(2pi)[|sin x|+|cos 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