Consider the vector-valued function t cot t t +0 - Csc t Ř(t) VI+t lnt' (-2, 0, 0), t = 0. Is R(t) continuous at t = 0? note: The vector function Ris said to be continuous at t= a if it satisfies the following conditions: Ř(a) exists; • lim Ř(t) exists; • Ř(a) = lim Ř(t). t→a t→a
Consider the vector-valued function t cot t t +0 - Csc t Ř(t) VI+t lnt' (-2, 0, 0), t = 0. Is R(t) continuous at t = 0? note: The vector function Ris said to be continuous at t= a if it satisfies the following conditions: Ř(a) exists; • lim Ř(t) exists; • Ř(a) = lim Ř(t). t→a t→a
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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
Transcribed Image Text:Consider the vector-valued function
t
cot t
t+ 0
Csc t
Ř(t) =
V1 +t' lnt'
(-2, 0, 0),
t = 0.
Is R(t) continuous at t = 0?
note:
The vector function Ris said to be continuous at t = a if it satisfies the
following conditions:
Ř(a) exists;
• lim Ř(t) exists;
• Ř(a) = lim Ř(t).
t→a
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