Given f(x) = 3 and g(x) = cos(x). What is Limit of left-bracket f (x) minus g (x) right-bracket as x approaches negative pi?

2
3
4
DNE

Given fx 3 and gx cosx What is Limit of leftbracket f x minus g x rightbracket as x approaches negative pi 2 3 4 DNE class=

Respuesta :

Answer:

C

Step-by-step explanation:

cos pie= -1

so (3-(-1)=3+1=4

We apply limits concepts to solve this question. Since the functions have no discontinuity, we just replace the values, and 4 is the answer.

Functions:

The functions are:

[tex]f(x) = 3[/tex]

[tex]g(x) = \cos{x}[/tex]

Limit:

[tex]\lim_{x \rightarrow -\pi} [f(x) - g(x)] = \lim_{x \rightarrow -\pi} [3 - \cos{x}] = 3 - \cos{\pi} = 3 - (-1) = 3 + 1 = 4[/tex]

Thus, 4 is the answer to this question.

For more on limits, you can check https://brainly.com/question/23145093

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