Find the continuity of f(x) = x at x = k, where k is any positive value:

Question

Find the continuity of $f (x) = x$ at $x = k$ , where $k$ is any positive value:

Smart Achievers · Accepted Answer

(1)

Ans. $f (x)$ is continuous at $x = k$

Explanation:

The given function is,

$f (x) = x$

At $x = k$ ,

$f (k) = k$

$\lim_{x \to k} f (x) = \lim_{x \to k} (x) = k$

$∴$ $\lim_{x \to k} f (x) = f (k)$

$∴$ $f (x) is continuous at x = k$

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