hi

i ve read in many books about signum function which is represented as sgn(x)=mod(x)/x

now when x>0,the value of function is 1 nd when x<0 the value of function is

 -1.this is quiet easy to understand as when x is >0 means x is positive hence mod(x) is replaced by +x nd we get the value 1 nd when x is <0 x becomes negative nd mod(x) is replaced by -x nd we get -1. but when x=0, in most of the books it is written that the value of function will be 0 in this case. but i want to know that when x=0, the function will be in the form 0/0 which is indeterminate form hence function should not be defined in this case so how come its value is 0???????? plzzzz help me

ruhi

The books which represent sgn(x) as mod(x)/x have defined it wrong. The actual definition is as follows :

 

                    sgn(x) =  mod(x)/x   when x  0

                            

                              =  0              when x = 0

 

Now the thing should be hopefully clear ......

 

Cheers