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Find the limit.
$ \lim_{t\to\infty} \biggr\langle te^{-t} , \frac{t^3 + t}{2t^3 - 1}, t \sin \frac{1}{t} \biggr\rangle $
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Calculus 3
Chapter 13
Vector Functions
Section 1
Vector Functions and Space Curves
Baylor University
University of Nottingham
Idaho State University
Boston College
Lectures
03:04
In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x. The input of a function is called the argument and the output is called the value. The set of all permitted inputs is called the domain of the function. Similarly, the set of all permissible outputs is called the codomain. The most common symbols used to represent functions in mathematics are f and g. The set of all possible values of a function is called the image of the function, while the set of all functions from a set "A" to a set "B" is called the set of "B"-valued functions or the function space "B"["A"].
08:32
In mathematics, vector calculus is an important part of differential geometry, together with differential topology and differential geometry. It is also a tool used in many parts of physics. It is a collection of techniques to describe and study the properties of vector fields. It is a broad and deep subject that involves many different mathematical techniques.
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the problem is finding a limit limit of Pico stream of energy. He turns into negativity. He's Cuban glass tea over to Cuba. Manus want she had sign Monday or energy The first limited because to infinity he had still connected T This is a cultural limit. He goes to infinity. Hey, Homer, New to you. So Auntie goes to infinity. Numerator goes to infinity. Nominator cost to infinity. So here we can use the Peter's role. So this is Nico to lament because to infinity wander over to tea Zoe Lim He goes to infinity, He's killed. Asked he over to his cube minus wants it says is equal to by half. Just be accounted. A term with highest power This city's Cuba over to Otis killed So this is what half Lim She goes to infinity. He hands sign one already that this is the culture limit. He goes to infinity sign I wanna know Right over. So Auntie goes infinity. One already goes to zero so we can't life This's limit here I use why is legal too one already? Then why close to zero sign Why? Our line says seriously control one Now the limits of this like to function Is Rico too zero one half And what
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