Home
Class 12
MATHS
let [x] denote the greatest integer less...

let [x] denote the greatest integer less than or equal to x.
Then `lim_(xto0) (tan(pisin^2x)+(abs.x-sin(x[x]))^2)/x^2`

A

equals `pi`

B

equals 0

C

equals `pi+1`

D

does not exist

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Let [x] denote the greatest integer less than or equal to Then: lim_(x to 0) (tan (pi sin^2x) + (|x|-sin (x[x]))^2)/x^2 :

Let [x] denote the greatest integer less than or equal to x . Then, int_(0)^(1.5)[x]dx=?

Let [x] denote the greatest integer less than or equal to x . Then, int_(1)^(-1)[x]dx=?

if [x] denotes the greatest integer less than or equal to x, than lim_(xrarr0)(x[x])/(sin|x|) , is

Let [x] denotes the greatest integer less than or equal to x and f(x)= [tan^(2)x] .Then

If f(x)={{:((sin[x])/([x])","" ""for "[x]ne0),(0","" ""for "[x]=0):} where [x] denotes the greatest integer less than or equal to x. Then find lim_(xto0)f(x).

For each x in R , let [x]be the greatest integer less than or equal to x. Then lim_(xto1^+) (x([x]+absx)sin[x])/absx is equal to