Use the graph to determine the limit. (If an answer does not exist, enter DNE.)y(4, 3)C = 4X4(4, -3)42-2-4(a) lim f(x) =(b) lim f(x)X→C(c) lim f(x) =X→CIs the function continuous at x = 4?O YesO No=2CUO68

Answered: Image /qna-images/answer/8b2da2e2-6f1f-47ce-9565-1db9cfec1a7e.jpg

Answered: Use the graph to determine the limit.…

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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Find the limit of the Function if it exists? lim (x,y) to (0,0) ytanx /3x^2 +y^2
Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) lim t → −2 t4 − 7 2t2 − 3t + 3
Use the graph to find the limit L (if it exists). If the limit does not exist, explain why. (If an answer does not exist, enter DNE.) g(x) = −2x x − 2 (a) lim x→2 g(x) L = The limit does not exist at x = 2 because the function does not approach f(2) as x approaches 2.The limit does not exist at x = 2 because the function is not continuous at any x value. The limit does not exist at x = 2 because f(2) ≠ 2.The limit does not exist at x = 2 because the function increases and decreases without bound as x approaches 2.The limit exists at x = 2. (b) lim x→0 g(x) L = The limit does not exist at x = 0 because the function does not approach f(0) as x approaches 0.The limit does not exist at x = 0 because the function is not continuous at any x value. The limit does not exist at x = 0 because f(0) ≠ 0.The limit does not exist at x = 0 because the function increases and decreases without bound as x approaches 0.The limit exists at x = 0.
Find the limit, if it exists, or show that the limit does not exist. a) lim (x,y)→(0,0) 3x2+2y2/ x+1 b) lim (x,y)→(0,0) 2x4y+2/ x8+6y-1
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In the exercise below, the initial substitution of x=a yields the form 0/0. Look for ways to simplify the function algebraically, or use a table and/or graph to determine the limit. When necessary, state that the limit does not exist.
Does the limit lim(x,y)->(0,0)(x4 -4y2)/(x2+2y2) exist. Explain your answer.
Find the limit if it exists or show that the limit doesn't exist. A) lim (xy)/(x2+y2) (x,y) -> (0,0 B) lim (x3+y3)/(x2+y2) (x,y) -> (0,0) C) lim (xy4)/(x2+y8) (x,y) -> (0,0) D) lim (x2+y2+z2)/((x2+y2+z2)1/2-1)

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Use the graph to determine the limit. (If an answer does not exist, enter DNE.) y (4, 3) C = 4 X 4 (4, -3) 4 2 -2 -4 (a) lim f(x) (b) lim f(x) = X→C (c) lim f(x) = X-C Is the function continuous at x = 4? O Yes O No = 2 00 6 8