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Show that the function defined by f(x) = |cos x| is a continuous function. - Mathematics

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प्रश्न

Show that the function defined by f(x) = |cos x| is a continuous function.

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उत्तर

It is known that f(x) = |cos x|

Let x = c ∈ R

`lim_(x -> c)` f(x) = `lim_(x -> c)` |cos x| = |cos c|

f(c) = |cos c|

Hence, f is a continuous function on x = c ∈ R.

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अध्याय 5: Continuity and Differentiability - Exercise 5.1 [पृष्ठ १६१]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 5 Continuity and Differentiability
Exercise 5.1 | Q 32 | पृष्ठ १६१

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