Question

Examine the following functions for continuity when f(c) =x-5​

Answer 1

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

lim

f(x)=f(k)

Hence, f is continuous at every point in the domain of f and therefore, it is a continuous function.

Step-by-step explanation:

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