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If the following function f (x) is conti...

If the following function f (x) is continuous at x=0 , find the values of a , b and c, where
`{{:((sin(a+1)x+sinx)/(x)," if " x lt0),(" "c," if "x=0),((sqrt(x+bx^(2))-sqrt(x))/(bx^((3)/(2)))," if "x gt0):}`

Text Solution

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The correct Answer is:
Therefore required `a=-(3)/(2),b` = any non - zero real value and `c=(1)/(2)` .
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