1.

Let f(x)=ax^(17)+bsinx.sin2x.sin3x+cx^(2) sgn(sin x)+d log (x+sqrt(1+x^(2)))+x(|x+1|-|x-1|)((e^(x)-e^(-x))/(e^(x)+e^(-x))) be defined on te set of real numbers, (agt0, b, c, d in R) if f(-7),f(-5)=-5, f(-2)=3, then the minimum number of zeroes of the equation f(x)=0 is equal to ________.

Answer»


Solution :`f` is an odd function
So, `f(7)=-7, f(5)=f(2)=3`
`XTO-oo,f(X)to oo`
`xto oo, f(x) to oo`


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