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What is divergent thinking?
Divergent thinking is a thought process or method used to generate creative ideas by exploring multiple possible solutions or perspectives. It involves thinking outside the box, considering various options, and embracing unconventional ideas. Divergent thinking encourages brainstorming, free association, and open-mindedness to come up with original and innovative solutions to problems. It is often associated with creativity and is the opposite of convergent thinking, which focuses on finding the single best solution.
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Is flight capability a convergent or divergent development in bat-birds?
Flight capability is a convergent development in both bats and birds. Despite evolving from different ancestors, both groups have independently developed wings and the ability to fly. This convergent evolution is a result of similar environmental pressures and the advantages that flight provides in terms of foraging, escaping predators, and accessing new habitats.
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Is flight ability a convergent or divergent development in bat birds?
Flight ability is a convergent development in bat birds. This means that flight has evolved independently in both bats and birds, despite their different evolutionary histories. Bats and birds have both developed wings and the ability to fly in order to adapt to their environments and find food sources. This convergent development has allowed both groups to thrive in their respective ecosystems.
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Is every periodic sequence divergent?
No, not every periodic sequence is divergent. A periodic sequence is a sequence that repeats after a certain number of terms. If the terms in the sequence approach a specific value as the sequence continues, then the sequence is convergent. However, if the terms in the sequence do not approach a specific value and instead diverge, then the sequence is divergent.
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Why is this integral divergent?
This integral is divergent because the function being integrated does not approach a finite value as the variable approaches infinity. In other words, the function grows without bound as the variable increases, causing the integral to also grow without bound. This lack of convergence means that the integral does not have a well-defined value and is therefore considered divergent.
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Why is the product of a convergent sequence with a divergent sequence not divergent?
The product of a convergent sequence with a divergent sequence is not necessarily divergent because the behavior of the two sequences can counterbalance each other. In other words, the convergent sequence may approach a specific limit while the divergent sequence may oscillate or grow without bound, but their product can still remain bounded or converge to a specific value. The interaction between the two sequences can result in a product that does not exhibit the same divergent behavior as the divergent sequence alone.
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Why is this sequence definitely divergent?
This sequence is definitely divergent because the terms are increasing without bound. As n approaches infinity, the terms of the sequence become larger and larger, indicating that the sequence does not have a finite limit. Therefore, the sequence diverges towards positive infinity.
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Why is this series definitely divergent?
This series is definitely divergent because the terms of the series do not approach zero as n approaches infinity. In other words, the terms do not get smaller and smaller, which is a necessary condition for a series to converge. Since the terms do not tend towards zero, the series cannot converge and is therefore divergent.
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