If `f(x)={:{([x]+[-x] , xne 0), ( lambda , x =0):}` where [.] denotes the greatest function , then f(x) is continuous at ` x =0 , " for" lambda `

Consider f(x)={{:([x]+[-x],xne2),(lambda,x=2):} where [.] denotes the greatest integer function. If f(x) is continuous at x=2 then the value of lambda is equal to

Consider f(x)={{:([x]+[-x],xne2),(lambda,x=2):} where [.] denotes the greatest integer function. If f(x) is continuous at x=2 then the value of lambda is equal to

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])/(|x|), x ne 0 , where [.] denotes the greatest integer function, then f'(1) is

If f(x)=([x])/(|x|), x ne 0 , where [.] denotes the greatest integer function, then f'(1) is

If f(x)=([x])/(|x|),x ne 0 where [.] denotes the greatest integer function, then f'(1) is

If f(x)=([x])/(|x|),x ne 0 where [.] denotes the greatest integer function, then f'(1) is

If (x)={g^(x),x =0f(x)={g^(x),x =0 where [.1) denotes the greatest integer function. The f(x)

Let f(x)={(x(e^([x]+x)-4)/([x]+|x|), , x!=0),(3, , x=0):} Where [ ] denotes the greatest integer function. Then,