Question: cos ( x ) = x ^ 3 . Prove that the equation has at least one real solution. The equation cos ( x )

cos(x)= x^3. Prove that the equation has at least one real solution. The equation
cos(x)= x3
is equivalent to the equation
f(x)= cos(x) x3=0.
f(x)
is continuous on the interval
[0,1],
f(0)=

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