Match the following series below in which you can compare using the Limit Comparison Test. Then determine whether the series converge or diverge. [infinity]
a. Σ 1/n
n=1

[infinity]
b. Σ 1/n^2
n=1

[infinity]
c. Σ 1/n^3
n=1

[infinity]
d. Σ 1/√n
n=1

Is there a direction u in which the rate of change of f(x, y)equals=x squared minus 3 xy plus 4 y squaredx2−3xy+4y2 at p(1,2) equals 14? give reasons for your answer. choose the correct answer below. a. no. the given rate of change is smaller than the minimum rate of change. b. no. the given rate of change is larger than the maximum rate of change. c. yes. the given rate of change is larger than the minimum rate of change and smaller than the maximum rate of change.