If `[x]` is denotes a greatest integer not exceeding `x` and if the function `f` define `f(x)=(a+2cosx)/x^2` if `x<0` and `btanpi/([x+4])` if `x>=0` is continuous at `x=0`, then the ordered pair `(a,b)` is:

If the function f defined as f(x)=(1)/(x)-(k-1)/(e^(2x)-1),x!=0, is continuous at x=0, then the ordered pair (k,f(0)) is equal to:

If [x] denotes the greatest integer not exceeding x and if the function f defined by f (x) = {:{ ((a +2 cos x)/(x^(2)),x lt 0), ( btan "" pi/(x +4), x ge 0):} is continuous at x = 0, then the ordered pair (a,b) is equal to

If [x] denotes the greatest integer not exceeding the number x, then f(x) defined by f(x)={{:([x],"if "xlt2),([x]-1,"if "xge2):} is continuous in the interval.

If [x] denotes the greatest integer not exceeding x, then the values of x satisfying [x]^(2)-7[x]+12le0 are

If f(x)=[x] where [x] denotes the greatest integer not exceeding x and g(x)=cos(pi x) , then the range of the function gof is

If [.] denotes the greatest integer function, then f(x)=[x]+[x+(1)/(2)]

If [.] denotes the greatest integer function, then f(x)=[x]+[x+(1)/(2)]

In order that the function f(x) = (x+1)^(cot x) is continuous at x=0 , the value of f(0) must be defined as :