lim(x->1) (x-1){x}. where {.) denotes th...

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

A

1

B

0

C

Does not exist

D

None of these

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

lim_(x rarr1)(x-1){x}. where {.) denotes the fractional part,is equal to:

lim_(x rarr oo){(e^(x)+pi^(x))^((1)/(x))}= where {.} denotes the fractional part of x is equal to

lim_(x rarr1)(x sin{x})/(x-1)," where "{x}" denotes the fractional part of "x," is equal to "

lim_(xto-1) (1)/(sqrt(|x|-{-x})) (where {x} denotes the fractional part of x) is equal to

int_(-1)^(1){x^(2)+x-3}dx, where {x} denotes thefractional part of x, is equal to

If f(x) = e^(x) , then lim_(xto0) (f(x))^((1)/({f(x)})) (where { } denotes the fractional part of x) is equal to -

The value of int_(0)^(1)({2x}-1)({3x}-1)dx , (where {} denotes fractional part opf x) is equal to :

lim_(x rarr0){(1+x)^((2)/(x))}( where {x} denotes the fractional part of x ) is equal to.

lim_(x rarr-1)(1)/(sqrt(|x|-{-x}))( where {x} denotes the fractional part of (x) is equal to (a)does not exist (b) 1(c)oo(d)(1)/(2)

For the function f(x)={x}, where {.} denotes the fractional part of x,x=1 is a point of