This, in terms of limits mean that
xlim
→c−
f (x) = c – 1, lim
x
→c+
f (x) = c
Since these limits cannot be equal to each other for any c, the function is
discontinuous at every integral point 5 2 1  Algebra of continuous functions
In the previous class, after having understood the concept of limits, we learnt some
algebra of limits