Home
Class 12
MATHS
lim (x rarr 1) (xsin(x−[x])) /(x-1) ​ ...

`lim _(x rarr 1) (xsin(x−[x])) /(x-1)` ​ , where [.] denotes the greatest integer function, is equal to

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x)=(sin([x]pi))/(x^2+x+1) , where [dot] denotes the greatest integer function, then

If [x]^(2)- 5[x] + 6= 0 , where [.] denote the greatest integer function, then

The function f(x) = [x] cos((2x-1)/2) pi where [ ] denotes the greatest integer function, is

If f(x)=e^(sin(x-[x])cospix) , where [x] denotes the greatest integer function, then f(x) is

f(x)=log(x-[x]) , where [*] denotes the greatest integer function. find the domain of f(x).

Let f(x) is a polynomial function and f(alpha))^(2) + f'(alpha))^(2) = 0 , then find lim_(x rarr alpha) (f(x))/(f'(x))[(f'(x))/(f(x))] , where [.] denotes greatest integer function, is........

f(x)=sin^(-1)[2x^(2)-3] , where [*] denotes the greatest integer function. Find the domain of f(x).

find the domain of f(x)=1/sqrt([x]^(2)-[x]-6) , where [*] denotes the greatest integer function.

domin of f(x)=sin^-1[log_2(x^2/2)] where [ . ] denotes the greatest integer function.

Find the domain and range of f(x) = sin^-1 (log [x]) + log (sin^-1 [x]) , where [.] denotes the greatest integer function.