Suppose that limƒ(x)=-13 and lim g(x)=-15, Find the following limit.lim [f(x)-g(x)]a. -13b. 2с. 195d. -28e. 0

The limits given are limx→cfx=-13 , limx→cgx=-15. To find the limit of the function , Apply the…

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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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Suppose that limƒ(x)=-13 and lim g(x)=-15, Find the following limit.
lim [f(x)-g(x)]
a. -13
b. 2
с. 195
d. -28
e. 0

Expert Solution

Step 1

The limits given are $\lim_{x \to c} f (x) = - 13, \lim_{x \to c} g (x) = - 15 .$

To find the limit of the function ,

Apply the limit difference theorem,

$\begin{array}{rcl} \lim_{x \to c} [f (x) - g (x)] & = & \lim_{x \to c} f (x) - \lim_{x \to c} g (x) \\ = & - 13 - (- 15) \\ = & - 13 + 15 \\ = & 2 . \end{array}$

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