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Let f(x)={{:((sin(a+1)x+sinx)/(x)",","wh...

Let `f(x)={{:((sin(a+1)x+sinx)/(x)",","when " xlt0),(" c,","when "x=0),(((x+bx^(2))^((1)/(2))-x^((1)/(2)))/(bx^((3)/(2)))",","when "xgt0):}`
If f (x) is continuous at x =0 , determine the values of a , b and c .

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The correct Answer is:
`a=-(3)/(2),bne0,c=(1)/(2)`
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CHHAYA PUBLICATION-CONTINUITY AND DIFFERENTIABILITY -EXERCISE 2A ( Long Answer Type Questions)
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  6. Let f(x)={{:((sin(a+1)x+sinx)/(x)",","when " xlt0),(" c,","wh...

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  12. Find from the first principle , the derivatives of the following funct...

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  15. Find from the first principle , the derivatives of the following funct...

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