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Problem

Find the limit. $ \lim_{t\to\infty} \biggr\lan…

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Problem 4 Easy Difficulty

Find the limit.

$ \lim_{t\to 1} \left(\frac{t^2 - t}{t - 1}\ i + \sqrt{t + 8}\ j + \frac{\sin \pi t}{\ln t}\ k \right) $


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Related Courses

Calculus 3

Calculus: Early Transcendentals

Chapter 13

Vector Functions

Section 1

Vector Functions and Space Curves

Related Topics

Vector Functions

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Lectures

Video Thumbnail

03:04

Vector Valued Functions - Intro

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"].

Video Thumbnail

08:32

Vector Valued Functions and Curves - Overview

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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Watch More Solved Questions in Chapter 13

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Problem 16
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Problem 48
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Problem 53
Problem 54

Video Transcript

the problem is finding a Lim Limited. He goes toe What? His square My honesty over T minus one times I plus return us eight I'm still us sign Hi Tam STI or al aunty ask eh? So first damn it! He goes to one He squired dynasty Homer he minus one This's a culture limit he calls to one He passed my swan Kovar minus one. This issue could limit because one he this's you could want Lim He goes to one genter Class eight This's the continent Tough one pass Ain't this is equal to three and lam it He goes to one Fine Hi. She over lmt since Time High is equal to zero And Alan one is also zero. So here we use Lope Rita's raw So this's he cultured limit He goes to one derivative Signed Piety is high times co sign piety on DH Degenerative off twenty is one over tea This's the cultural Hi Call sign Hi, Omar. One success It is effective heart Now the limit have thiss back to function is to one times i us three times plus neck till pai haves cases this imp Linus Hi

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03:04

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Video Thumbnail

08:32

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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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