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- Covered today: Power series
- For next time :
- Find the sum of a given series or show that the series diverges:
Decide whether the statement is true or false, if it is true prove it if false give a counterexample:
- If converge, the
diverge.
- If and both diverge, then so does
.
- If
for every , then diverge.
- If and converge, then
converge.
Determine the intervals of convergence of the power series:
Determine the power series representation of the function. On what interval each representation valid?
- in powers of .
- in powers of .
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Review Taylor series