p.1
Finding Coefficients in Polynomial Expansions
What needs to be found based on the equality of coefficients in the expansion?
The possible values of n.
p.1
Sum to Infinity of Series
What is the hint for finding the sum to infinity of the series given?
Compare coefficients with those in the expansion of (1 + ax)^n.
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Expansion of Functions in Powers
What should be done to expand (2 - 2x) in ascending powers of x?
Expand and give the range of values for x for which the expansion is valid.
p.1
Coefficient Comparison in Expansions
What condition is given for the coefficients of x^2 and x^3 in the expansion of (1 + nx)^n?
The coefficients of x^2 and x^3 are equal.