Looks so simple yet my class couldn't figure it out, Reddit r/askmath

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Honestly I think the class didn’t learn limit from right and left or they just forget about it.

HalobeatWatcher
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This limit problem is a good illustration of why making even a rough sketch graph of the function in question can shed a lot of light. Using a graphing as a qualitative analytical tool is too often overlooked.

wtmayhew
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Note to self:
"L'Hôpital's rule can only be applied in the case where direct substitution yields an indeterminate form, meaning 0/0 or ±∞/±∞. So if f and g are defined, L'Hôpital would be applicable only if the value of both f and g is 0. "

henrikholst
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Cady Heron would have figured this out… it’s how she won the athlete competition in “Mean Girls.”

cvkline
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I used to love asking my students on these if their denominator was positive zero or negative zero. The transition from initial confusion to a-ha was one of my favorite gems from teaching.

Stags
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I just woke up and this video was suggested. I haven't touched in limits for almost a decade so my thought was "Ive forgetten all of this".
I've opened the video, watched for 3 minutes and I could feel the knowledge coming back 😂 so weird

joaooliveirarocha
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I haven't been to school for at least 5 years, and now listening to your explanation I could understand better what I could not back then

houghwhite
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Knowing how this function's graph behaves gives all of the intuition needed. Vertical asymptote at x=1, positive to the right, negative between 0 and 1. My students often dive into the calculus without thinking about the precalculus. Sure it can be done without the precalc, but the confidence gets a big boost when we think about the graph first.

bobtivnan
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never took a calculus class in my life but i still end up watching these videos

contextinvideos
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Thank you. The limit pops up a lot in engineering, not just on paper but in actual physical or electrical functions.
That said, in electronics we use graph paper as writing paper so doing a graph with 3 samples is quicker.

johnelectric
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This brings me back 50 years. Thanks.
I recently talked with one of the guys who was also in that class.

phild
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I love this bite sized math content, feels like I'm getting a bit smarter every day :D

its_elkku
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I haven't taken calculus in my life and was interested. Only to be completely distracted by the lifetime supply of expo markers.

frostshock
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Are we not gonna talk about the amount of markers he's got stored in the background? I've seen entire schools have less than that lmao

Lolwutdesu
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Finally! A problem on this channel I could solve on my own!

cmyk
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Btw, the graph shows that the two lines doesn't meet at a certain point (diverging on an asymptote) so that's what DNE literally means: there's no convergence at any particular point.

_Just_Another_Guy
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Mathematicians:
0.999...=1
Also mathematicians:
0+ is not the same as 0

HenrikMyrhaug
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I wish I had this channel when I was in calculus years ago. Thank you for a clear-cut explanation and getting me interested in math again.

lengeschder
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I just literally advance self-studying Calculus 1 rn and this is my 1st video yt recommend it. I didn't know that we can also have exponential signs to determine if + or - infinity but i alr knew that it will be DNE bcuz of + & - infinity are not equal. Perfect timing! I can't wait for my next sem. You got a sub❤!

ravenousstrike
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BRP: "You can't just say this is undefined". It's undefined.

tombratcher