The value of `lim_(xtok^(-))x-[x]`, where k is an integer

The value of lim_(x to k^-) x-[x] , where k is an integer is………….

The value of lim_(x rarr k^(-)) x -[x] , where k is an integer, is

The value of lim_(xtoa)[sqrt(2-x)] , where a in[0,1/2] and [.] denotes the greatest integer function is:

The value of lim_(xtoa)[sqrt(2-x)+sqrt(1+x)] , where a in[0,1/2] and [.] denotes the greatest integer function is:

The value of lim_(xto0)(sin[x])/([x]) (where [.] denotes the greatest integer function) is

The value of lim_(xto0)(sin[x])/([x]) (where [.] denotes the greatest integer function) is

The value of lim_(xto0)(sin[x])/([x]) (where [.] denotes the greatest integer function) is

Using lim_(xtoa) x=a and the laws of limits prove that lim_(xtoa)x^n =a^n where n is an integer

The value of lim_(xtoa)[sqrt(2-x)+sqrt(1+x)] , where a epsilon[0,1/2] and [.] denotes the greatest integer function is