CamScanner 09-10-2023 10.43

.pdf
School
Dallas Colleges **We aren't endorsed by this school
Course
MATH 2413
Subject
Mathematics
Date
Oct 25, 2023
Pages
3
Uploaded by ChiefHippopotamus3628 on coursehero.com
D:ego ES? yNoTon Brendan Caseria MATH 2413: Dallas College Due: 9/10/2023 Homework 3: 2.4, 2.5 Question 1. Compute the following limits. " 2 a) lim e S Hint: Careful with the square root! T-2" \/;2--]- r2—-6 Xy 2 (xx2) l 1. —— e Jir el X T=X=b = CXFL) [X-3) , " 2 r__( T & S 5 Ty 5 A b) zl_igl+ arctan(In(x)) Hint: Individual graphs of In(z) and arctan(z) might help here. ae) = UNACTiacd 51 X~o" »\a=0 AN - atcran(-=) = Scanned with CamScannér
2 Question 2. Carefully consider the following statements. Either prove them using the Intermediate Value Theorem or explain why IVT does not apply. a) In 1962, Wilt Chamberlain scored 100 points in a basketball game using only 1-point and 2-point baskets. At some point during the game, he had scored 32 points. v doesnck | aggly - beose relsonsio bexwesn X ond 4 aly s ad cofelared b) In 2002, Mike Crean hit a golf ball 517 yards directly into the hole for a "hole-in-one", the longest such shot ever recorded. At some point in its flight, the ball was exactly 314 yards from the hole. Scanned with CamScanner
Question 3. Using the definition of continuity, find the (a,b) pair such that the following furiction 15 continuous for all z. 2bx +4a, <1 -\0 f(z)={b—3a, r=1-\0 1822 +4b, £>1-\0 Fa-C A0 2;":':\ Zbxa b 34 Faxk =0 ta-LE0 "IAN _ ¢ Yo b-3s 21k -A S0 N 2y bbb i (- W 3813 g b=.C-0 B -3 Conriniovs bpegause ¥NE ol moreh O hen o= 1, ond b Z —Te Scanned with CamScanner
Page1of 3
Uploaded by ChiefHippopotamus3628 on coursehero.com