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Show that cos |x| is a continuous function.

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asked May 14, 2020 in Continuity and Differentiability by RajeshKumar (48.6k points)
closed May 16, 2020 by RajeshKumar

Show that cos |x| is a continuous function.

continuity
differentiability
class-12

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1 Answer

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answered May 14, 2020 by Subnam01 (49.9k points)
selected May 16, 2020 by RajeshKumar

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Consider f (x) = |x| and g (x) = cos x

We know that

(gof) (x) = g [f(x)] = g [|x|] = cos |x|

Here, f and g is continuous and their composite (gof) is continuous.

Therefore, cos |x| is a continuous function.

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Show that cos |x| is a continuous function.

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