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If : f(x) ={((sinx )/x+ cos x,; x!...

If : `f(x) ={((sinx )/x+ cos x,; x!=0),(2, ;x=0):}` then :

A

f(x) is discontinous at x = 0

B

`lim_(x to 0)f(x) = 1`

C

f(x) is continous at x = 0

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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