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What are the practical applications of limits of function?
well derivatives cannt be used without limits so it is application for calculus
Why is calculus described as understanding something by looking at small pieces?
Both derivatives and integrals - two of the most important concepts in calculus - are defined in terms of limits; specifically, what happens when something gets smaller and smaller.
What does infinitesimal calculus mean?
Infinitesimal calculus pretty much means non-rigorous calculus, i.e. calculus without the notion of limits to prove its validity. When Newton and Leibniz originally formulated calculus, they used derivatives and integrals in the same manner that they're still used today, but they provided no formalism as to how those techniques were mathematically valid, therefore causing quite a debate as to their worth. The infinitesimals themselves simply had to be accepted as valid, in and of themselves, for the theory to work.
What is the L' Hospital's rule in calculus and how to use it to find the limits n derivatives?
In its simplest form, l'Hôpital's rule states that for functions f and g which are differentiable on I\ {c} , where I is an open interval containing c:If, and exists, and for all x in I with x ≠ c,then.^from wiki
What is the history of limits in calculus?
newton and Leibniz were first introduced the concept of limit independently
