Does the series sin n converge?
Does the series sin n converge?
1 Expert Answer sin(n) does not approach a limit as n increases; therefore, the sum diverges…. end of story!
What is the difference between convergent and divergent in math?
Convergent sequence is when through some terms you achieved a final and constant term as n approaches infinity . Divergent sequence is that in which the terms never become constant they continue to increase or decrease and they approach to infinity or -infinity as n approaches infinity.
Is integral convergent or divergent?
Vocabulary Language: English ▼ English
| Term | Definition |
|---|---|
| converge | An improper integral is said to converge if the limit of the integral exists. |
| diverge | An improper integral is said to diverge when the limit of the integral fails to exist. |
Can the sum of two divergent sequences converge?
Originally Answered: Is the sum of two divergent sequences converge? It can be, quite trivially. The first series is 1+1+1+…, the second is -1–1–1…. Put them together and you get 0+0+0+…
What’s the difference between divergent and convergent evolution?
Convergent Evolution vs. Whereas convergent evolution involves unrelated species that develop similar characteristics over time, divergent evolution involves species with a common ancestor that change to become increasingly different over time.
Are analogous structures convergent or divergent?
Analogous structures arise from convergent evolution, but homologous structures do not. Convergent evolution is the opposite of divergent evolution, in which related species evolve different traits.
What are examples of homologous structures?
A common example of homologous structures is the forelimbs of vertebrates, where the wings of bats and birds, the arms of primates, the front flippers of whales and the forelegs of four-legged vertebrates like dogs and crocodiles are all derived from the same ancestral tetrapod structure.
What are two homologous structures?
The arm of a human, the wing of a bird or a bat, the leg of a dog and the flipper of a dolphin or whale are homologous structures. They are different and have a different purpose, but they are similar and share common traits. They are considered homologous structures because they have a similar underlying anatomy.
What does analogous structures mean?
Alternative Title: analogous structure. Analogy, in biology, similarity of function and superficial resemblance of structures that have different origins. For example, the wings of a fly, a moth, and a bird are analogous because they developed independently as adaptations to a common function—flying.
Which one defines homologous structures?
Homologous structures are organs or skeletal elements of animals and organisms that, by virtue of their similarity, suggest their connection to a common ancestor. These structures do not have to look exactly the same, or have the same function.
What is homologous structures in evolution?
Both provide evidence for evolution. Homologous structures are structures that are similar in related organisms because they were inherited from a common ancestor. The structures are similar because they evolved to do the same job, not because they were inherited from a common ancestor.
Why are the structures in Figure 1 homologous structures?
1. HOMOLOGOUS STRUCTURES ‐ structures such as bones that are similar in many different ortganisms that have shared a recent common ancestor. The more alike the structures are the more closely related the organisms are to one another.
What is the difference between analogous structures and vestigial structures?
Structures are similar, which shows a common ancestor. Analogous structures are when two organisms have different structures but serve a similar function. Vestigial structures are traits that our ancestors needed but no longer serve a purpose in our environment. How do vestigial structures support evolution?
Are humans and apes fingers analogous or homologous?
Homologous (but not analogous) traits can be used to reconstruct the evolutionary relationships between different species. For example, humans, chimpanzees, and gorillas all have thumbs that are very similar anatomically and are homologous. The panda’s thumb, however, is analogous to these primate thumbs.