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Sagot :
A straight line that approaches the graph without touching; is referred to as an asymptote.
The graph of [tex]y = \frac{x - 1}{x}[/tex] has [tex]y = 1[/tex] as an asymptote
To solve this question, I have attached the graphs of:
[tex]y = \ln(x)[/tex], [tex]y = \frac{x - 1}{x}[/tex], [tex]y =e^x[/tex] and [tex]y = \sin(x)[/tex]
From the attached graphs, we have the following observations
- The graphs of [tex]y = \ln(x)[/tex], [tex]y =e^x[/tex] and [tex]y = \sin(x)[/tex] do not have asymptote
- The graph of [tex]y = \frac{x - 1}{x}[/tex] has [tex]y = 1[/tex] as an asymptote
Hence, the solution to the question is option (b).
See attachment for the graphs of the four functions
Read more about asymptote at:
https://brainly.com/question/4084552

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