∞∑n=21n2−1∑n=2∞1n2−1converges.The limit comparison test can be used in two other cases. Supposelimn→∞anbn=0limn→∞anbn=0.In this case, {anbn}{anbn} is a bounded sequence. As a result, there exists a constant MM such that an≤Mbnan≤Mbn. Therefore, if ∞∑n=1...
2 answers Find the drawing, its name, and its shape 2 answers Determine whether the following series converge or diverge. Be sure to name any test(s) used as well as the key details. (a) \( \sum_{n=1}^{\infty} \frac{5}{n} \) (b) \( \sum_{n=1}^{\infty} \arctan...
data = subsample2.df) write.table(as.data.frame(adonis.results2$aov.tab),"adonis_Peterborough_Velsko.tsv", sep="\t",row.names=TRUE,col.names=TRUE) #--- betadisper to test dispersion homogeneity mod2 <- betadisper(distAIT2, subsample2.df$Group1) dispersion2 = anova(mod2) #Anova of...
re a little rusty with math and worried about what this class has in store, it’s all good. Alex (and the whole Study Edge crew) have your back. She’s been tutoring calculus for over 5 years and their love for math (as well as the Exam Reviews, Chapter Reviews, and Practice ...
sigma[k=1,inf] [(-1)^k*k/sqrt(k^4+2)] I am reading this as the series . The Integral Test should probably be used as a last resort, since it's incredibly easy to create difficult to impossible integrals. When making a comparison test, you should drop the "alternating-sign ...
Mid-semesterTest: 2 FinalExamination: 2 Evaluation: Assignments and exams will be weighted as follows: mid-semester exam: 30% written homework: 10% attendance: 10% comprehensive final: 50% GradingScale: A 90 - 100 B 80 - 89 C 70 - 79 D 60 - 69 E 0 - 59©...
Because these exams are from a while back, they both have some format differences compared to the current AP Calculus AB exam.But looking through these old exams can give you a sense of the test format, and you can work some of the questions as practice, too. ...
The book gives you the 'lecture notes' as if you just got out of class and says "GO!".The solutions give you such clear guidance for every step, and gives you the "why" did you just do that step "how did you do that" - 'this algebraic property/identity'The problems are also ...
As stated in the introductory section, there are two primary types of calculus: differential calculus and integral calculus. Here is a brief overview of these two types: Differential Calculus Differential calculus is the area of calculus dealing with cutting something into smaller pieces in order to...
2) Within this interval, divide the x axis into bins, such as the bin from x = 0 to x =1 or the bin from x = 1 to x = 2. 3) Pick a method of summation. The goal is to add the function's outputs, or y values, within the interval to approximate the value of the function...