Question

Examine the following functions for continuity.
(a) f(x) = x - 5​

Answer 1

Answer:

x will be 5

Step-by-step explanation:

p(x)=x-5

X=5

Answer 2

Answer:

The given function is f(x)=

x−5

1

,x



=5

For any real number k



=5, we obtain

x→k

lim

f(x)=

x→k

lim

x−5

1

=

k−5

1

Also, f(k)=

k−5

1

(As k

= 5)

∴

x→k

lli

f(x)=f(k)