# What is the limit of #f(x)=0#?

##### 1 Answer

*Given the function #f(x) = 0#, since this is a constant function (that is, for any value of #x#, #f(x) = 0#, the limit of the function as #x->a#, where #a# is any real number, is equal to #0#.*

More specifically, as a constant function, **Note, however, that if one arrives at a constant function via division or multiplication of non-constant functions (for example, #(8x)/x#, there will still exist a discontinuity where the original denominator was #0#**).

Graphing the function will further prove this point. On the graph