{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# Sheet2 - Math 21A Kouba Challenge Discussion Sheet 2 1...

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

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Math 21A Kouba Challenge Discussion Sheet 2 1.) Write the surface area of a cube with edge length m as a function of the volume of the cube. 2.) Determine the following limits. :1: + sina: a. lim :34 sin 1 a: b. lim h ) x-—>0 ( / ) ) alt—>0— V\$2 +91: _ x3—;I:2+:c——1 , _ \$2+4m c.) 11m —~——-—— d.) hm arcsm w—>~oo 1—:c+:r2—:c3 :c—)oo 2x2+4 e.) lim (V 1:2 + 4:1: — V 302 — 4) f.) lim (2:1: — V :52 + 16) ZB—HDO \$—)—OO 303+:c2—2zr 2 2 , ifm7é0,a:7€2 3.) Let f(:1:) = a: 1— 5’: ifsz —3, if\$=2. i.) Show that f is continuous at :1: = 0. ii.) Show that f is not continuous at a: 2 2. iii.) Is f continuous for all values of :c not equal to 0 and not equal to 2 ? Why ? iv.) Sketch the graph of f. 4.) For what values of :c is each of the following functions continuous ? Brieﬂy explain. a.) y = (3:2 + a: + 1)100 b.) f(:1:) = (In :L‘)4 + sinrr 5.) Use the Intermediate Value Theorem to prove that 5 a.) a: : m2 + 1 has at least one solution. b.) 1:4 = 33 has at least three solutions. ...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern