MATH 31B Lecture Notes - Lecture 20: Nerd

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Test example: tricky comparison, more sequence convergence examples. Rinks: hw 6 graded before hw 5 online. com. ni#el:::::::. sec::::. :. !::t:. Infinite series guns) doesn"t converge ) ( does not exist, ie : extra ott. Iii bn -_ sinkn) (cid:15482) bo = sin cti - o) = sirico) = o. = sin (ti ) = o bz = sin 12t) = o: 3. So {bn3f=o is (0,0, 0,0 , - and hence converges to 1=0 . Note : reline sink) = 0 even r ( integers neo ) though fishy sink x) dne . } (cid:15482)noting an =l but in the example above we don"t have so this thin does not apply . o. Lxi cn = costin ) sin ctn ) = costin) . 0=0 tf n zo coo oso, - - - - i so iim cn = o h a (cid:12200) diary ( itt )" an -_ (ht "t ) (cid:15482) an = eh can)

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