{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

created-9-24-04 - Limits Limit 1 lim n sin n 1 1 = lim x...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Limits Limit # 1. lim n →∞ n sin 1 n = lim x →∞ x sin 1 x = lim x →∞ sin 1 x 1 x = lim θ 0 sin θ θ = 1 by Red #2, p 190. Definition 1. A sequence is a function whose domain is the set of all positive integers. Definition 2. Let { a n } be a sequence of real numbers and let L be a real number. Then (a) lim n →∞ a n = L iff the following condition holds: For each open interval U centered at L, a n is in U from some index N onward. (b) lim n →∞ a n = iff the following holds: For each interval U = ( M, ], a n is in U from some index onward. (c) lim
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Ask a homework question - tutors are online