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प्रश्न
Examine sin |x| is a continuous function.
उत्तर
Let f(x) = sin `abs x`
x = c `in` on R
`lim_(x -> c) f(x) = lim_(x -> c) (sin abs x) = sin abs c`
f(c) = sin `abs c`
Hence, f is a continuous function on x = c `in` R.
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