Any other method

Calculus Level 4

$\large f(x)=\dfrac{\sin(3x)+A\sin(2x)+B \sin (x)}{x^5}$

Suppose we define $$f(x)$$ as above except at the point $$x=0$$, if $$f(x)$$ is continuous at $$x=0$$, then find the value of $$f(0)$$.

Try for some more interesting problems of Limits and Derivatives.
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