Skelch a graph of H on the intervál (-1, 1].Does lim H(x) exist?. Choose the correct graph below.OA.OB.Oc.OD.AH(X)2-AH(x)AH(X)AH(X)b. Does lim H(x) exist?O A. Yes, because the value of lim H(x) = H(0) which in turn is equal to 1.O B. Yes, because the function is defined for every value of x in the range [-1, 1].O C. No, because the function has an open circle at (0, 0).O D. No, because lim H(x) =0 and lim H(x) = 1.x-0X-0*O Time RemaininP Type here to search112prt scdelete144 The Heaviside function is used in engineering applications to model flipping a switch. It is defined below.0 ifx<0H(x) =1 if x20a. Sketch a graph of H on the interval [-1, 1].b. Does lim H(x) exist?a. Choose the correct graph below.A.AH(X)AH(x)-14--1b. Does lim H(x) exist?O A. Yes, becauso thB.

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Answered: The Heaviside function is used in…

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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Below is a graph of the function g(x). Use this graph to complete the problems given below. a) lim x->2 g(x) =? b) lim x->0 g(x) =? c) lim x->4- g(x) =? d) lim x->4+ g(x) =? Based on the answrs in c and d does lim x->4 g(x) exist?
Use the graph of the function h(x) given below to answer the questions that follow. (1) Evaluate h(−2) (a) Find lim x → −2- h(x) (b) Find lim x → -2+ h(x) (c) Use your answers from parts (b) and (c) to find lim x→-2 h(x).
Which of the following statements about the function y = ƒ(x)graphed here are true, and which are false? limx →3+ƒ(x) does not exist.
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Use the graph of the function h(x) given below to answer the questions that follow. (1) Evaluate h(2). 2 DNE 4 (a) Find lim x → 2- h(x) (b) Find lim x → 2+ h(x) (c) Use your answers from parts (b) and (c) to find lim x → 2 h(x)
Find the limits, if it exists. lim x → ∞ (13)/(14+e^(8x))
The graph of f(x) = 2x2/(x2 + 2) is shown. (a) Find L = limx ∞ f(x). (b) Determine x1 and x2 in terms of ε. (c) Determine M, where M > 0, such that ∣ f(x) − L∣ < ε for x > M. (d) Determine N, where N < 0, such that ∣ f(x) − L∣ < ε for x < N.
Which of the following statements about the function y = ƒ(x)graphed here are true, and which are false? limx → -1-ƒ(x) does not exist.

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The Heaviside function is used in engineering applications to model flipping a switch. It is defined below. 0 ifx<0 H(x) = 1 if x20 a. Sketch a graph of H on the interval [-1, 1]. b. Does lim H(x) exist? a. Choose the correct graph below. A. AH(x) AH(x) B.