Fun With Calculus-3

Calculus Level 4

limx[(a+x)(b+x)(c+x)3x]\large \lim_{x\to \infty}\left [\sqrt[3] {(a+x)(b+x)(c+x)}-x\right ] is equal to wa+yb+zcd\large \frac{w a+y b+z c} {d}(w,y,z,d(w,y,z,d\inN)), then the minimum value of w+y+z+dw+y+z+d is


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