I
iTeachChemβ€’4mo ago
Opt

Limits

Let's see if I remember how to type this out. $\lim_{x \to 0}\frac{cos(sinx)-cosx}{x^4}$ I tried series expansion, and got somewhere, but it didn't work out in the end.
38 Replies
TeXit
TeXitβ€’4mo ago
Opt
No description
iTeachChem Helper
iTeachChem Helperβ€’4mo ago
@Apu
iTeachChem Helper
iTeachChem Helperβ€’4mo ago
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.
SirLancelotDuLac
SirLancelotDuLacβ€’4mo ago
Series expansion works na? In this? Just make sure you use sine ka series expansion also. Like $(x-\frac{x^{3}}{6})=sin(x)$ le ke sine and cosine ka series expansion
TeXit
TeXitβ€’4mo ago
SirLancelotDuLac
No description
Nimboi
Nimboiβ€’4mo ago
you're suggesting series expansion of sin inside a cos and then series expanding that expansion in the argument of cos?
Opt
OptOPβ€’4mo ago
Oh, I just expanded the cosines
SirLancelotDuLac
SirLancelotDuLacβ€’4mo ago
That would ignore several x^4 terms that come by sine wala lagane mein ig.
flower
flowerβ€’4mo ago
I have the question in my module πŸ˜†πŸ˜†πŸ˜†
Opt
OptOPβ€’4mo ago
Yeah, I got those zeroes in the denominator and went nah
SirLancelotDuLac
SirLancelotDuLacβ€’4mo ago
First expand by cosine and then apply sine in my opinion.
flower
flowerβ€’4mo ago
Achcha so like we first assume like sinx to just not exist in the cos, write the cos ka expansion and then put sinx everywhere where it should
Opt
OptOPβ€’4mo ago
Ye I guess that should work
SirLancelotDuLac
SirLancelotDuLacβ€’4mo ago
Ye and then apply sine ka expansion. Even after that its still painful tho.
flower
flowerβ€’4mo ago
AYEIN NAHH ATP JUST SKIP THE QUESTION 😭😭
Opt
OptOPβ€’4mo ago
It is. Three terms at least in each expansion, because x⁴ in denom That's what I did lol.
SirLancelotDuLac
SirLancelotDuLacβ€’4mo ago
Yeah. In paper just have a hindsight what to ignore ig.
Opt
OptOPβ€’4mo ago
And four mistakes. So 76 in maths today
BlindSniper (BS)
BlindSniper (BS)β€’4mo ago
not that difficult tho send paper
Opt
OptOPβ€’4mo ago
I will. I made silly errors lol
BlindSniper (BS)
BlindSniper (BS)β€’4mo ago
76 is pretty wild
Opt
OptOPβ€’4mo ago
It was easy
BlindSniper (BS)
BlindSniper (BS)β€’4mo ago
I'll judge
Dexter
Dexterβ€’4mo ago
2/3 @Opt ? no 1/3 sorry eh?
Opt
OptOPβ€’4mo ago
1/6 diya hai
Dexter
Dexterβ€’4mo ago
naw wait
Opt
OptOPβ€’4mo ago
It's in that paper I just sent
BlindSniper (BS)
BlindSniper (BS)β€’4mo ago
oh it actually is pretty easy damn
Dexter
Dexterβ€’4mo ago
yeah 1,-1 krna hai bas
BlindSniper (BS)
BlindSniper (BS)β€’4mo ago
was talking about the paper
Dexter
Dexterβ€’4mo ago
oh sorry 😭 got it lemme send the soln
Opt
OptOPβ€’4mo ago
Ok, yeah, I think I got this.
Dexter
Dexterβ€’4mo ago
@Opt sorry for the mess
No description
Dexter
Dexterβ€’4mo ago
just standard limits and L hopital
Opt
OptOPβ€’4mo ago
Understood. Series expansion worked out for me.
Dexter
Dexterβ€’4mo ago
good stuff man
Opt
OptOPβ€’4mo ago
Aight, imma close this. +solved @Dexter @BlindSniper (BS) @SirLancelotDuLac
iTeachChem Helper
iTeachChem Helperβ€’4mo ago
Post locked and archived successfully!
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