hi guys
2nd year uni student here...havent taken math 30 pure for 3 years so i am regretting theh calculus i am doing, even though it may seem easy to many of you:
2x + x^2/3 on [-1,1]
...can someone walk me through a question like this and explain it in simpleton terms thanks
Ouch! I would say that "f(x)= 1 if , -1 if x> 0" is "well defined" but certainly not continuous on its domain!
It is true that our ways of writing functions have developed so that any function we are able to write as a single formula is continuous wherever it is defined but that an artifact of the way we write formulas and has nothing to do with being "well defined".