1.

A function f is defined by f(x)= {{:((sin (a + 1) x + sinx)/(x)" if " x lt 0),(c "if " x = 0),(((x + bx^(2))^(1/2)- x^(1/2))/(bx^(3/2)) " if" x gt 0 ):} It f(x) is continuous at x = 0 , find the values of a,b and c .

Answer»

`a = (-3)/(2) , c = (1)/(2) , b NE 0 `
` a = b = (1)/(2) , c = 0 `
` a = b = c = (1)/(2)`
`a = (1)/(2) BNE 0 c = 1 `

ANSWER :A


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