{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

sol4 - n →∞ b n = 0 Thus it follows from Theorem...

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

View Full Document Right Arrow Icon
Let a n be the sequence a n = n ± cos ± 1 n - 1 (1) Observe that if we call: f ( x ) = cos( x ) - 1 x (2) and b n = 1 n (3) then we have a n = f ( b n ) (4) We know that, after setting f (0) = 0, f ( x ) is a continuous function for all x real. Moreover lim
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: n →∞ b n = 0. Thus it follows from Theorem 11.3.12 that lim n →∞ a n = f ± lim n →∞ b n ¶ = f (0) = 0 (5) 1...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online