a. Explanation Given: The graph of functions f Concept Used: The limit of a function f ( x ) at x = a is l i.e., lim x → a f ( x ) = l if lim x → a − f ( x ) = lim x → a + f ( x ) = l Calculation: lim x → 4 t ( x ) Calculating the limit of t ( x ) at x = 4 . From left direction. Since, the function t ( x ) approaches to 2 as x approaches to 4 from left direction. i.e b. To determine To find The limits lim x → − 4 t ( x ) c. To determine To find The limits lim x → − 5 + t ( x )

Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)

6th Edition

ISBN: 9781524908102

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topic…

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Chapter 2.1, Problem 3PS

To determine

To findThe limits limx→4t(x)

To determine

To find The limits limx→−4t(x)

To determine

To find The limits

limx→−5+t(x)

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Chapter 2.1, Problem 2PS

Chapter 2.1, Problem 4PS

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1. Given f(x) = 2* and g(x) = 3*, a. complete the table of values -4 -3 -2 -1 1 3 4 f(x) = 2* g(x) = 3* b. Sketch the graphs in one coordinate plane c. Identify the domain, range, y-intercept, and horizontal asymptote of each function. 2. The population of Brgy. Sta. Isabel starts with 1,000 individuals and triples every 50 years. (a) Give an exponential model for the situation. (b) What is the size of the population after 100 years? 3. Ms. Lara invested Php100,000 in a bank with an interest rate of 3% compounded annually. (a) Give an exponential model for the situation (b) What is the amount of her investment after 15 years? C. True or False. 1. f(x) = 3x? is an exponential function 2. Íf f(x) = 5*, then f(-1) = -5 3. The function f(x) = 1* is an exponential function. 4. The function f(x) = (-3)* is an exponential function. 5. If x = 0, then the function f(x) = b* is equal to 1.

Do Problems f, g, h, i, j, k only please

B. The graph of f(x) is given in Figure 5. Determine the following limits: 1. lim f(x) 4. lim f (x) x→-4 x-3 2. lim f(x) 5. lim f(x) x--1 x→5 3. lim f(x) x→1 (-1,4) (1,4) (÷1,-2) (5,-2). (3,-4) (4, 5) Figure 5

Chapter 2 Solutions

Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)

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To findThe limits lim x → 4 t ( x )

Solution Summary: The author explains how the function t(x) approaches to 2 from left direction.

Concept explainers

Videos

To findThe limits limx→4t(x)

To find The limits limx→−4t(x)

To find The limits

limx→−5+t(x)

Want to see the full answer?

Chapter 2 Solutions

To findThe limits lim x → 4 t ( x )

Solution Summary: The author explains how the function t(x) approaches to 2 from left direction.

Concept explainers

Videos

To findThe limits limx→4t(x)

To find The limits limx→−4t(x)

To find The limits limx→−5+t(x)

Want to see the full answer?

Chapter 2 Solutions

To find The limits

limx→−5+t(x)