In symbols,
we write
lim0
( )
x
f x
→−
= − ∞
(to be read as: the left hand limit of f (x) at 0 is
minus infinity) Again, we wish to emphasise
that – ∞ is NOT a real number and hence the
left hand limit of f at 0 does not exist (as a real
number) The graph of the reciprocal function
given in Fig 5 3 is a geometric representation
of the above mentioned facts