Find a curve that intersects the line $y = 2$ at an infinite number of points
0
$begingroup$
Curve problem
Find a curve that intersects the horizontal asymptote $y=2$ at a infinite number of points.
This is from CALC 1 limits by the way.
What I know already:
- I know that to have a horizontal asymptote you must have the numerator and the denominator be of the same degree. So to have a horizontal asymptote I would need something like $2x/x$.
- I also know that to intersect a line at infinite number of points, I would need something like a $cos$ or a $sin$ function. However, I can't seem to get a $cos$ or $sin$ function that has a horizontal asymptote at $y=2$.
limits continuity
edited Jan 18 at 20:07
David G. Stork
11k41432
asked Jan 18 at 19:51
user607739user607739
1
$endgroup$
add a comment |
0
$begingroup$
Curve problem
Find a curve that intersects the horizontal asymptote $y=2$ at a infinite number of points.
This is from CALC 1 limits by the way.
What I know already:
- I know that to have a horizontal asymptote you must have the numerator and the denominator be of the same degree. So to have a horizontal asymptote I would need something like $2x/x$.
- I also know that to intersect a line at infinite number of points, I would need something like a $cos$ or a $sin$ function. However, I can't seem to get a $cos$ or $sin$ function that has a horizontal asymptote at $y=2$.
limits continuity
edited Jan 18 at 20:07
David G. Stork
11k41432
asked Jan 18 at 19:51
user607739user607739
1
$endgroup$
$begingroup$
Oh. I totally forgot about transformations!
$endgroup$
– user607739
Jan 18 at 19:58
add a comment |
0
0
0
$begingroup$
Curve problem
Find a curve that intersects the horizontal asymptote $y=2$ at a infinite number of points.
This is from CALC 1 limits by the way.
What I know already:
- I know that to have a horizontal asymptote you must have the numerator and the denominator be of the same degree. So to have a horizontal asymptote I would need something like $2x/x$.
- I also know that to intersect a line at infinite number of points, I would need something like a $cos$ or a $sin$ function. However, I can't seem to get a $cos$ or $sin$ function that has a horizontal asymptote at $y=2$.
limits continuity
edited Jan 18 at 20:07
David G. Stork
11k41432
asked Jan 18 at 19:51
user607739user607739
1
$endgroup$
Curve problem
Find a curve that intersects the horizontal asymptote $y=2$ at a infinite number of points.
This is from CALC 1 limits by the way.
What I know already:
- I know that to have a horizontal asymptote you must have the numerator and the denominator be of the same degree. So to have a horizontal asymptote I would need something like $2x/x$.
- I also know that to intersect a line at infinite number of points, I would need something like a $cos$ or a $sin$ function. However, I can't seem to get a $cos$ or $sin$ function that has a horizontal asymptote at $y=2$.
limits continuity
limits continuity
edited Jan 18 at 20:07
David G. Stork
11k41432
asked Jan 18 at 19:51
user607739user607739
1
edited Jan 18 at 20:07
David G. Stork
11k41432
asked Jan 18 at 19:51
user607739user607739
1
edited Jan 18 at 20:07
David G. Stork
11k41432
edited Jan 18 at 20:07
David G. Stork
11k41432
edited Jan 18 at 20:07
David G. Stork
11k41432
11k41432
asked Jan 18 at 19:51
user607739user607739
1
asked Jan 18 at 19:51
user607739user607739
1
asked Jan 18 at 19:51
user607739user607739
1
1
$begingroup$
Oh. I totally forgot about transformations!
$endgroup$
– user607739
Jan 18 at 19:58
add a comment |
$begingroup$
Oh. I totally forgot about transformations!
$endgroup$
– user607739
Jan 18 at 19:58
$begingroup$
Oh. I totally forgot about transformations!
$endgroup$
– user607739
Jan 18 at 19:58
$begingroup$
Oh. I totally forgot about transformations!
$endgroup$
– user607739
Jan 18 at 19:58
add a comment |
1 Answer
1
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oldest
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3
$begingroup$
$$y = 2 + {sin (x) over x}$$
answered Jan 18 at 19:55
David G. StorkDavid G. Stork
11k41432
$endgroup$
$begingroup$
Thank you! I totally forgot about the basic transformations.
$endgroup$
– user607739
Jan 18 at 20:00
add a comment |
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1 Answer
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1 Answer
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active
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active
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active
oldest
votes
3
$begingroup$
$$y = 2 + {sin (x) over x}$$
answered Jan 18 at 19:55
David G. StorkDavid G. Stork
11k41432
$endgroup$
$begingroup$
Thank you! I totally forgot about the basic transformations.
$endgroup$
– user607739
Jan 18 at 20:00
add a comment |
3
$begingroup$
$$y = 2 + {sin (x) over x}$$
answered Jan 18 at 19:55
David G. StorkDavid G. Stork
11k41432
$endgroup$
$begingroup$
Thank you! I totally forgot about the basic transformations.
$endgroup$
– user607739
Jan 18 at 20:00
add a comment |
3
3
3
$begingroup$
$$y = 2 + {sin (x) over x}$$
answered Jan 18 at 19:55
David G. StorkDavid G. Stork
11k41432
$endgroup$
$$y = 2 + {sin (x) over x}$$
answered Jan 18 at 19:55
David G. StorkDavid G. Stork
11k41432
answered Jan 18 at 19:55
David G. StorkDavid G. Stork
11k41432
answered Jan 18 at 19:55
David G. StorkDavid G. Stork
11k41432
answered Jan 18 at 19:55
David G. StorkDavid G. Stork
11k41432
11k41432
$begingroup$
Thank you! I totally forgot about the basic transformations.
$endgroup$
– user607739
Jan 18 at 20:00
add a comment |
$begingroup$
Thank you! I totally forgot about the basic transformations.
$endgroup$
– user607739
Jan 18 at 20:00
$begingroup$
Thank you! I totally forgot about the basic transformations.
$endgroup$
– user607739
Jan 18 at 20:00
$begingroup$
Thank you! I totally forgot about the basic transformations.
$endgroup$
– user607739
Jan 18 at 20:00
add a comment |
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$begingroup$
Oh. I totally forgot about transformations!
$endgroup$
– user607739
Jan 18 at 19:58