19 Replies
iTeachChem Helper
@Apu
iTeachChem Helper
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flower
flower2w ago
Ayo
SirLancelotDuLac
Okay one approach can be this: Consider taylor expansions of $\frac{-e^{-x}+e^{x}}{2}$, where we have $\sum_{n=0}^{\infty} \frac{x^{2n+1}}{(2n+1)!}
TeXit
TeXit2w ago
Lance who? Compile Error! Click the :errors: reaction for more information. (You may edit your message to recompile.)
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SirLancelotDuLac
Now replace x with $\sqrt{x}$, to get the taylor expansion as $\sqrt{x} \cdot \sum_{n=0}^{\infty} \frac{x^{n}}{(2n+1)!}$ Also replace it on the lhs
TeXit
TeXit2w ago
Lance who?
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SirLancelotDuLac
Uske baad do the differentiation thingy to get the answer Thoda brute force ahh thing hai but ye...:/ (Also forgot to write: This might turn out to be easier as the numerator thingy is effectively (n+3)^2+1, sooo yee)
CorrodedCoffin
CorrodedCoffinOP2w ago
ok so i watched a vid on this and the soln was really but kinda hard to think of didnt involve differentiation i am not sure if your method will work
SirLancelotDuLac
It should tbh Also yea differentiation is really cool for solving such problems 'cuz yk the taylor expansions
professional_procrastinator
could you send it here?
AY
AY2w ago
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AY
AY2w ago
now use taylor series
AY
AY2w ago
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AY
AY2w ago
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AY
AY2w ago
No description
CorrodedCoffin
CorrodedCoffinOP6d ago
+solved @AY @Lance who?
iTeachChem Helper
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