http://www.ck12.org Chapter 8. Infinite Series
9.{ 6 n 2
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- Let{an}be a sequence such that limn→+∞|an|=0. Show that limn→+∞an=0. (|an|is the absolute value of
an.) - Find the first four functions{Yn(x)}^3 n= 0 defined by Picard’s method for the solution to the initial value problem
y′(x) = 1 +ywithy( 0 ) =0. - Find the first four functions{Yn(x)}^3 n= 0 defined by Picard’s method for the solution to the initial value problem
y′(x) = 1 +y^2 withy( 0 ) =0. - Find the first three functions{Yn(x)}^2 n= 0 defined by Picard’s method for the solution to the initial value problem
y′(x) =y^1 /^3 withy( 0 ) =^18.
Keywords
- sequence
- rules
- terms
- index, indices
- limit
- convergence
- divergence
- L’Hôpital’s Rule
- Sandwich/Squeeze Theorem
- Picard’s Method