A function f is continuous at x=a if
lim x->a exist
f(a) exists
lim x-> f(x) = f(a)
What is cos(0) and cos(2π)
1
Your answer is continuous if
both limits of the question equal the same answer
If your answer is a polynomial your answer is always
ex: cx^2+bx+c
continuous
If your function is a cube root (3√x) your answer is always
continuous