Limits
Can someone please explain the solution? How did the author randomly put the function into the power of e?
15 Replies
@Apu
Note for OP
+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.That isn't really random
1 to the power infinity form limits are in the form "e" because of how "e" is defined
You know the limit definition of "e"?
(all these limits can be easily proven using that)
No
Let me write it down for you wait
All I was taught is that it's 2.71 and was also given a random explanation about an experiment in which bacteria multiply exponentially
Which had something to with e apparently
This is how e is actually defined
If you’re interested in where this comes from, you can watch a khan academy video
I’ll send you the link
Alright
Hint: It’s got to do with compound interest
Now, notice the definition of e
It’s got 1 to the power of infinity form
This is why most of the limits with a 1 to the power of infinity form can be expressed in the form of e
Khan Academy
YouTube
e and compound interest | Interest and debt | Finance & Capital Mar...
Sal introduces a very special number in the world of math (and beyond!), the constant e.Created by Sal Khan.
Watch the next lesson:
https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/cont-comp-int-and-e/v/e-as-limit?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets
Missed the previous lesson?...
I see
This is a really great video
Check this out
You’ll anyways need a deeper understanding of e to go further in calculus
‘cause it’s gonna show up literally everywhere
+solved @Varun_Arora
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