How do you know that h(y) = 7y* + 3y² – 5y + 2 is continuous on its whole domain? (t+4)(t+1)(t-5) How do you know that G(t) =- is continuous on the interval (-2,1)? (t+5)(t-2) Let m(k) = 3k +1 with its implied domain. (3k +1 for k# 5 for k = 5 Let A(k) ={ 8 Without actually calculating limits. how do you know lim m(k) = lim A(k) ?

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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How do you know that h(y) = 7y* + 3y² – 5y + 2 is continuous on its whole domain?
(t+4)(t+1)(t-5)
How do you know that G(t) =-
is continuous on the interval (-2, 1)?
(t+5)(t-2)
Let m(k) = 3k +1 with its implied domain.
S3k +1 for k + 5
for k = 5
Let A(k) =
8
Without actually calculating limits, how do you know lim m(k) = lim A(k) ?
k-5
k+5
Transcribed Image Text:How do you know that h(y) = 7y* + 3y² – 5y + 2 is continuous on its whole domain? (t+4)(t+1)(t-5) How do you know that G(t) =- is continuous on the interval (-2, 1)? (t+5)(t-2) Let m(k) = 3k +1 with its implied domain. S3k +1 for k + 5 for k = 5 Let A(k) = 8 Without actually calculating limits, how do you know lim m(k) = lim A(k) ? k-5 k+5
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