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[" 61"41M=(a+bx^(3/2))/(x^(5)+)" and "y'...

[" 61"41M=(a+bx^(3/2))/(x^(5)+)" and "y'=0" at "x=5],[" then the value of "a^(2)/b^(2)" is "]

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Let f: R to R be a function defined as f(x)={(,(sin (a+1)x+sin 2x)/(2x), if x lt 0),(, b, if x=0), (,(sqrt(x+bx^(3))-sqrtx)/(bx^(5/2)), if x gt 0):} If f is continuous at x=0 then the value of a+b is equal to :