Home
Class 12
MATHS
lim(x->[a]) (e^{x}-{x}-1)/({x}^2 Where {...

`lim_(x->[a]) (e^{x}-{x}-1)/({x}^2` Where {x} denotes the fractional part of x and [x] denotes the integral part of a.

A

0

B

`1/2`

C

e-2

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    DISHA PUBLICATION|Exercise Exercise- 1 : Concept Builder (Topic 4)|15 Videos

  • LIMITS AND DERIVATIVES

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

  • LIMITS AND DERIVATIVES

    DISHA PUBLICATION|Exercise Exercise- 1 : Concept Builder (Topic 2)|15 Videos

  • JEE MAIN - 2019 (HELD ON: 9TH APRIL 2019(MORNING SHIFT))

    DISHA PUBLICATION|Exercise MCQs|30 Videos

  • LINEAR INEQUALITIES

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

lim_(x rarr[a])(e^(x)-{x}-1)/({x}^(2)) Where {x} denotes the fractional part of x and [x] denotes the integral part of a.

If f(x)-{x^(2)}-({x})^(2), where (x) denotes the fractional part of x, then

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

f(x)=sqrt((x-1)/(x-2{x})) , where {*} denotes the fractional part.

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

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

lim_(x rarr1)({x})^((1)/(n pi x)) ,where {.} denotes the fractional part function

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

Evaluate int_(0)^(2){x} d x , where {x} denotes the fractional part of x.