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If g (x) = sum(r=0)^(200) alpha(r) . x^(...

If g (x) `= sum_(r=0)^(200) alpha_(r) . x^(r) " and f(x)" = sum_(r=10)^(200) beta_(r) x^(r) , beta _(r) = 1 ` for
` r ge 100 ` and g (x) = f (1 + x) , show that the greatest
coefficient in the expansion of `(1 + x)^(201) " is " alpha_(100)` .

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