If a and b are positive and [x] denotes greatest integer less than or equal to x, then find `lim_(xto0^(+)) x/a[(b)/(x)].`

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

For each tinR," let "[t] be the greatest integer less than or equal to t. Then find lim_(xto0^(+)) x([(1)/(x)]+[(2)/(x)]+...+[(15)/(x)])

If n in N , and [x] denotes the greatest integer less than or equal to x, then lim_(xrarrn)(-1)^([x]) is equal to.

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).

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).

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).

If f(x)={:(sin[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).

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

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

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