Use the binomial series to expand the function as a power series. Find the radius of convergence.
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|x|<4
Mathematics
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Find the common ratio, r, for the geometric sequence.2, 6, 18, 54, 162, . . .
A. 1/3 B. 6 C. 81 D. 3
Mathematics
Use the linear approximation (1 + x)k ? 1 + kx, as specified.Find an approximation for the function f(x) = 
for values of x near zero.
A. f(x) ? 1 + 2x B. f(x) ? 1 - 2x C. f(x) ? 2 - 2x D. f(x) ? 2 + 2x
Mathematics
Solve the inequality.4x2 - 32x + 60 < 0
A. -5 < x < -3 B. x < 3 or x > 5 C. x < -5 or x > -3 D. 3 < x < 5
Mathematics
Perform the division. Write the answer with positive exponents.
A. 3x - 7 + 
B. 3x2 - 7 + 
C. 3x2 - 7 + 
D. 3x - 7 + 
Mathematics