How would i show that f(x)= -3 +17 is continuous on [-1,1]?
there is a theorem said if "f" and "g" continuous functions then f+g is continuous
so I'd like to split the function into three functions
, ,
I will prove the first one and leave the others for you
given and take
we need to find delta depending on epsilon and x
choose
this delta works for any epsilon