The two functions are
and
.
The functions
and
are continuous for all real
.
Properties of continuity:
\ (a) If
and
are continuous at
, then
is continuous at
.
The functions
and
are continuous for all real
.
Hence,
is continuous for all real
.
The two functions are
and
.
The functions
and
are continuous for all real
.
Properties of continuity:
\ (a) If
and
are continuous at
, then
is continuous at
, except
.
If
, then
is undefined.
is continuous for all values of
, except
.
Let the functions be
and
.
The functions
and
is continuous for all values of
.
is continuous for all values of
, except
.
is not continuous at
.
(a)
is continuous for all real
.
(b)
is continuous for all values of
, except at
.