If `f(x)={{:((e^([2x]+2x+1)-1)/([2x]+2x+1),:,x ne 0),(1,":", x =0):}`, then (where `[.]` represents the greatest integer function)

If f(x)=|x-1|.([x]=[-x]), then (where [.] represents greatest integer function)

if f(x) ={{:((1-|x|)/(1+x),xne-1),(1, x=-1):} then f([2x]) , where [.] represents the greatest integer function , is

If f(x)={{:(e^(|x|+|x|-1)/(|x|+|x|),":",xne0),(-1,":",x=0):} (where [.] denotes the greatest integer integer function), then

If f(x)={{:((e^((2)/(x))-1)/(e^((2)/(x))+1),:,x ne 0),(0,:,x=0):} , then f(x) is

if f(x) ={{:(2x-[x]+ xsin (x-[x]),,x ne 0) ,( 0,, x=0):} where [.] denotes the greatest integer function then

If f(x)=x((e^(|x|+[x])-2)/(|x|+[x])) then (where [.] represent the greatest integer function)

If f(x) = (e^([x] + |x|) -3)/([x] + |x|+ 1) , then: (where [.] represents greatest integer function)

If f(x)={((a^(2[x]+{x})-1)"/ "(2[x]+{x}),x!=0),(log_(e)a,x=0):} Then at x=0, (where [x] and {x} are the greatest integer function and fraction part of x respectively

lim_(xto0) [(1-e^(x))(sinx)/(|x|)] is (where [.] represents the greatest integer function )

Let f(x)={{:(,sum_(r=0)^(x^(2)[(1)/(|x|)])r,x ne 0),(,k,x=0):} where [.] denotes the greatest integer function. The value of k for which is continuous at x=0, is