basic infinite series

topsquark said:
What does the ln function tend to as x tends to infinity? It's a limit!! Pre-Calc. Limits!

-Dan
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i think i get idea of the limit from the other thread

\(\displaystyle \lim_{M \to \infty} \ln M = \infty\)

am i correct?:rolleyes:
 
khansaheb said:
What is the "proper" answer to the query posted in post #1 ?
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we know
\(\displaystyle \int_{1}^{\infty} \frac{1}{x} dx \leq \sum_{n=1}^{\infty}\frac{1}{n}\)
we show \(\displaystyle \int_{1}^{\infty} \frac{1}{x} dx\) diverg
then by comparison test \(\displaystyle \sum_{n=1}^{\infty}\frac{1}{n}\) diverge too

topsquark said:
I would hardly call this "mastery." First, this took you way too long to get, and this is a simple problem.

-Dan
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it take a long time to solve a specific question at the first time
it take no time to solve question with the same concept second time

it's a rule of thumb if you know it🤟
 
logistic_guy said:
it take a long time to solve a specific question at the first time
it take no time to solve question with the same concept second time

it's a rule of thumb if you know it🤟
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Learning it the second time around is easier. But forgive me for saying that if it were that easy for you, you'd've remembered it from Calc I. You seem to be trying to learn how to solve specific problems rather than learning the concepts, so I doubt that you've mastered this so quickly.

-Dan
 
topsquark said:
Learning it the second time around is easier. But forgive me for saying that if it were that easy for you, you'd've remembered it from Calc I. You seem to be trying to learn how to solve specific problems rather than learning the concepts, so I doubt that you've mastered this so quickly.

-Dan
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i appreciate your presence and advice in all of my threads. they help me

thank very much🙏
 
logistic_guy said:
your post number \(\displaystyle 19\) imply that☹️
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My reply just said that someone who is bad at calculus, not necessarily you, can still "pass" the course. Whether or not you are in that situation I do not know.
 
Steven G said:
My reply just said that someone who is bad at calculus, not necessarily you, can still "pass" the course. Whether or not you are in that situation I do not know.
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yeah i'm bad at calculus and i pass the course, but i'm not the weakest student🥺
 
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