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(b) lim 1+√k+K²+1 24³ +3

(b) lim 1+√k+K²+1 24³ +3

Calculus: Early Transcendentals
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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1. Evaluate the following limits. (a) Let 2. 3. (b) (c) a- - 3r p(x)=ar +36 4r+b where a and b are constants. Find a and b so that lim f(x) and lim f(z) both exists. 1+√k+K²+1 lim 24³ +3 Use the definition of limit of a function to prove that lim f(x) = -6 if if x < -2 if -2<r<1 ifr>1 f(x) = Find all values of a such that is continuous everywhere. 16²-9 if x- 4x+3 if r = -1. fr+2 ifr <a B(x) = if z > a Prove that p(7)=¹77² +7+4 has at least two real zeros. Let / be a continuous on the interval [0, 1] to R and such that f(0) = ((1). Show that there exists a point a in [0,1/2] such that ((a) = l(a + 1/2).
Transcribed Image Text:1. Evaluate the following limits. (a) Let 2. 3. (b) (c) a- - 3r p(x)=ar +36 4r+b where a and b are constants. Find a and b so that lim f(x) and lim f(z) both exists. 1+√k+K²+1 lim 24³ +3 Use the definition of limit of a function to prove that lim f(x) = -6 if if x < -2 if -2<r<1 ifr>1 f(x) = Find all values of a such that is continuous everywhere. 16²-9 if x- 4x+3 if r = -1. fr+2 ifr <a B(x) = if z > a Prove that p(7)=¹77² +7+4 has at least two real zeros. Let / be a continuous on the interval [0, 1] to R and such that f(0) = ((1). Show that there exists a point a in [0,1/2] such that ((a) = l(a + 1/2).
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