This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: √ 12 x x (d) lim t → t t + sin t 1 (e) lim z →∞ z 2 + 1 2 z 21 (f) lim x →∞ cos x x 2 + 1 2. Let f ( x ),∞ < x < ∞ , be the function deﬁned as follows: f ( x ) = ( x + λ if x ≤ 2 2 λx if x > 2 (a) Determine the constant λ so that f ( x ) is continuous for all x . (b) Graph the function y = f ( x ),4 ≤ x ≤ 8, for the value of λ found in (a). 2 3. Show that the function f ( t ) = cos tt has a zero in the interval π/ 6 < t < π/ 4. 4. Using only the deﬁnition of the derivative, ﬁnd f ( x ) for the following functions: (a) f ( x ) = 1 √ x 2 + 1 (b) f ( x ) = x 1 + 2 x 3...
View
Full
Document
This note was uploaded on 01/12/2010 for the course STAT 100 taught by Professor Denissjerve during the Winter '06 term at San Jose State.
 Winter '06
 denissjerve

Click to edit the document details