What is the approximation for small x in the expression 1/(1 - x)?
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1 + x + x^2.
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What is the approximation for small x in the expression 1/(1 - x)?
1 + x + x^2.
What needs to be found based on the equality of coefficients in the expansion?
The possible values of n.
What is the approximation for 1000 - 0.999?
Approximately 1.001.
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.
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.
What is the coefficient of x^(2n) in the expansion of (1 - 2x)^n?
(2n choose n) * 2^n.
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.
