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

Answers (1)

Given function is
f(x) = x-5
Our function is defined for every real number say k
and value at x = k ,  f(k) = k-5
and also,
\lim_{x\rightarrow k} f(x) = k -5\\ \lim_{x\rightarrow k} f(x) = f(k)
Hence, the function f(x) = x-5 is continuous  at every real number

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