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The function f (x) = 1 + |sin x| is     

Option: 1

continuous nowhere


Option: 2

continuous everywhere    


Option: 3

discontinuous at x = 0


Option: 4

None of these 
 


Answers (1)

best_answer

f (x) = 1 + |sin x| 
    where  sin x > 0  ⇒ f (x) = 1 + sin x 
    sin x < 0 ⇒ f (x) = 1 − sin x 
    so continuous every where 
    Hence (B) is the correct answer.
 

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