Q 1419123019.     If `S` be the sum of coefficients in the expansion of `(alpha x+ beta y- gamma z)^n`, where `(alpha, beta , gamma >0)` then the value of `lim_(n->oo) s/ {s^(1/n) +1}^n` is

A

`e^((alpha beta)/gamma)`

B

`e^( (alpha+ beta -gamma)/(alpha+ beta-gamma+1) )`

C

`alpha beta/gamma`

D

`0`

HINT

`S =(alpha *1 + beta *1-gamma *1)^n =(alpha+ beta-gamma )^n`
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