Examine the following functions for continuity.
(a) `f(x)=x-5`
(b) `f(x)=1/(x-5)`
(c) `f(x)=(x^2-25)/(x+5)`
(d) `f(x)=|x-5|`

Explanation

`f(x) = x - 5`



To check continuity of `f(x)`



We check it's if it is continuous at any point `x = c`


Let c be any real number

`f` is continuous at `x = c`


`if lim_(xrarrc) f(x) = f(c)`


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