I
iTeachChem•8mo ago
hithav

limits

i am not understanding how to solve this
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15 Replies
iTeachChem Helper
iTeachChem Helper•8mo ago
@Apu @Apu
iTeachChem Helper
iTeachChem Helper•8mo 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.
iTeachChem Helper
iTeachChem Helper•8mo 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
SirLancelotDuLac•8mo ago
This is indeterminate of the form $1^{\infty}$ so on numerator it tends to $e^{(\frac{5x+4x^{2}}{x})}-e^{(\frac{5x-4x^{2}}{x})}$=$\frac{e^{5-4x}(e^{8x}-1)}{x}$ which tends to $8e^{5}$ as x tends to zero.
TeXit
TeXit•8mo ago
SirLancelotDuLac
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Aman
Aman•8mo ago
Bro where did lim x->0 gone
SirLancelotDuLac
SirLancelotDuLac•8mo ago
The two brackets in numerator are 1^infinity form and then I have shown the solving
Aman
Aman•8mo ago
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Aman
Aman•8mo ago
See I did this
SirLancelotDuLac
SirLancelotDuLac•8mo ago
Yes this is half the solution. Now the numerator tends to e^(5+4x)-e^(5-4x) So you basically take out e^(5-4x) common to get answer
Aman
Aman•8mo ago
There's x also in denominator
SirLancelotDuLac
SirLancelotDuLac•8mo ago
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Aman
Aman•8mo ago
Oh ok
hithav
hithavOP•8mo ago
i forgot that formula existed i was trying to diffrenciate the thing 💀 thanks +solved @Aman @SirLancelotDuLac
iTeachChem Helper
iTeachChem Helper•8mo ago
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