(a)
f(x) = x – 5
(b)
f(x) = 
1
x −5
, x ≠ 5
(c)
f(x) = 
2
25
5
x
x
+−
, x ≠ –5
(d)
f(x) = |x – 5 |
4 Prove that the function f(x) = xn is continuous at x = n, where n is a positive
integer 5 Is the function f defined by
, if
1
( )
5, if
>1
x
x
f x
x
≤
= 

continuous at x = 0