I need to think of some functions that would be discontinuous at x=-4 but continuous at every other value of x and they have to be discontinuous for different reasons.
so far i have:
1) f(x) = 1/(x+4)
2) f(x) = 3^(1/(x+4))
i just need one more!
I need to think of some functions that would be discontinuous at x=-4 but continuous at every other value of x and they have to be discontinuous for different reasons.
so far i have:
1) f(x) = 1/(x+4)
2) f(x) = 3^(1/(x+4))
i just need one more!
You can easily produce a removable dicontinuity by taking a normal function like f(x)=x and multiplying it by (x+4)/(x+4).
You can also do a piecewise function, such that the limit exists and the function is defined, but the two values are not equal.
Still another example is the floor function.