Which graph represents a sequence that converges because the values approach 2?
2 answers:
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I'll assume the ODE is actually
Look for a series solution centered at , with
with and
.
Substituting the series into the ODE gives
- If
for integers
, then
and so on, with
- If
, we have
for all
causes every odd-indexed coefficient to vanish.
So we have
Recall that
The solution we found can then be written as