Home
Class 12
MATHS
If lim (e to e ^(-)) {ln x} and lim (xto...

If `lim _(e to e ^(-)) {ln x} and lim _(xto x ^(+)) {ln x}` exist finitely but they are not equal (where {.} denotes fractional part function), then:

A

c' can take only rational values

B

c' can take only irrational values

C

c' can take infinite values in which only one is irrational

D

c' can take infinite values I which only one is rational

Text Solution

Verified by Experts

The correct Answer is:
D
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

If lim _(x to c ^(-)) {ln x} and lim _(xto c ^(+)) {ln x} exist finitely but they are not equal (where {.} denotes fractional part function), then:

The value of lim_(xto0)sin^(-1){x} (where {.} denotes fractional part of x) is

The value of the integral int_(-4)^(4)e^(|x|){x}dx is equal to (where {.} denotes the fractional part function)

lim _(xto 1 ^(-)) (e ^({x}) - {x} -1)/( {x}^(2)) equal, where {.} is fractional part function and I is aan integer, to :

Let f (x) = lim _(n to oo) n ^(2) tan (ln(sec""(x)/(n )))and g (x) = min (f(x), {x}} (where {.} denotes fractional part function) Left derivative of phi(x) =e ^(sqrt(2f (x))) at x =0 is:

lim_(xtoc)f(x) does not exist when where [.] and {.} denotes greatest integer and fractional part of x

lim_(x->1) (x-1){x}. where {.) denotes the fractional part, is equal to:

Find the domain and range of f(x)=log{x},w h e r e{} represents the fractional part function).

lim_(xoto0) x log_(e) (sinx) is equal to

Find the domain and range of f(f)=log{x},w h e r e{} represents the fractional part function).