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Calculate the limit: lim(2x – 6x +1) Prove lim(3x – 2)=7. (Hint: Use the & – e definition of the limit.) 1.) 2.) fx² +4 if x+1 [2 3.) Find the limit: lim fS(x) if f(x) = if x=1 4.) Find the limit: lim x+1 5.) Find e so that f(x) is continuous on the entire number line. (x² j xs3 S(x) ={c if x>3 x² - 5x – 24 lim 6.) Calculate the limit: x+3 7.) Find the derivative of S(x) = 5x² + 2 using the limit definition of the derivative. 8.) Find the equation of the line tangent to the graph f(x) =" at the point (4,1). For problems 9 through 14, take the derivative. 9.) s(1) =x² - 10.) S(x) = 4 cos x + Vx 1.) у-х'sinx 12.) бх -5 y = x' +1

Calculate the limit: lim(2x – 6x +1) Prove lim(3x – 2)=7. (Hint: Use the & – e definition of the limit.) 1.) 2.) fx² +4 if x+1 [2 3.) Find the limit: lim fS(x) if f(x) = if x=1 4.) Find the limit: lim x+1 5.) Find e so that f(x) is continuous on the entire number line. (x² j xs3 S(x) ={c if x>3 x² - 5x – 24 lim 6.) Calculate the limit: x+3 7.) Find the derivative of S(x) = 5x² + 2 using the limit definition of the derivative. 8.) Find the equation of the line tangent to the graph f(x) =" at the point (4,1). For problems 9 through 14, take the derivative. 9.) s(1) =x² - 10.) S(x) = 4 cos x + Vx 1.) у-х'sinx 12.) бх -5 y = x' +1

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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Calculate the limit: lim(2x – 6x +1) Prove lim(3x – 2)=7. (Hint: Use the & – e definition of the limit.) 1.) 2.) fx² +4 if x+1 [2 3.) Find the limit: lim fS(x) if f(x) = if x=1 4.) Find the limit: lim x+1 5.) Find e so that f(x) is continuous on the entire number line. (x² j xs3 S(x) ={c if x>3 x² - 5x – 24 lim 6.) Calculate the limit: x+3 7.) Find the derivative of S(x) = 5x² + 2 using the limit definition of the derivative. 8.) Find the equation of the line tangent to the graph f(x) =" at the point (4,1). For problems 9 through 14, take the derivative. 9.) s(1) =x² - 10.) S(x) = 4 cos x + Vx 1.) у-х'sinx 12.) бх -5 y = x' +1
Transcribed Image Text:Calculate the limit: lim(2x – 6x +1) Prove lim(3x – 2)=7. (Hint: Use the & – e definition of the limit.) 1.) 2.) fx² +4 if x+1 [2 3.) Find the limit: lim fS(x) if f(x) = if x=1 4.) Find the limit: lim x+1 5.) Find e so that f(x) is continuous on the entire number line. (x² j xs3 S(x) ={c if x>3 x² - 5x – 24 lim 6.) Calculate the limit: x+3 7.) Find the derivative of S(x) = 5x² + 2 using the limit definition of the derivative. 8.) Find the equation of the line tangent to the graph f(x) =" at the point (4,1). For problems 9 through 14, take the derivative. 9.) s(1) =x² - 10.) S(x) = 4 cos x + Vx 1.) у-х'sinx 12.) бх -5 y = x' +1
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