Let xn(smaller n)>=0 for all n belong to N
a) if (xn)-->0, show that(sqrt[xn])-->0
b)if (xn)-->x,show that(sqrt[xn])-->x
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(a) proof:
Since x_n->0 as n->inf, for any e>0, we can find N>0, such that for all n>N, we have |x_n|<e^2. So |sqrt(x_n)|<e. This implies sqrt(x_n)->0 as n->inf.
Show that it is impossible to write R=U(union sign n=1 bottom, infinity top)F_n where for each n belong to N, F_n is closed set containing no nonempty open intervals.
These problems are realanalysis related problems. One of these is Liptuaz continuity/holder condition. It would be nice if you use mean value theorem for solving that problem.
1. Let f : [0, 2] ? R be continuous, assume that f is twice differentiable at all points of (a, b), and assume that f(0) = 0, f(1) = 1 and f(2) = 2. P
What are the advantages and disadvantages of having "real-time" data available for analysis? What are the reasons why it is an advantage/disadvantage to businesses.
Decision tree analysis shows a project to have several possible outcomes the best of which has an NPV of $10M calculated over a five year life. This best case path has an overall probability of occurring of 25%. A real option is available at an initial cost of $750,000 which will add a single $5M cash inflow to this best case pa
