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Examine that sin |x| is a continuous function.

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प्रश्न

Examine that sin |x| is a continuous function.

योग
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उत्तर

Let f(x) = sin |x|

x = c ∈ R

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

f(c) = sin |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 33 | पृष्ठ १६१

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