Determine if f defined by
2
sin1
, if
0
( )
0,
if
0
x
x
f x
x
x

≠
= 

=

is a continuous function Rationalised 2023-24
 MATHEMATICS
118
25 Examine the continuity of f, where f is defined by
sin
cos , if
0
( )
1,
if
0
x
x
x
f x
x
−
≠

= −
=

Find the values of k so that the function f is continuous at the indicated point in Exercises
26 to 29 26