# hw02 - Homework 2 Due 1 Use the graph to find the following...

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: Homework # 2 Due: 5/30/06 1. Use the graph to find the following limits: lim f (x) lim f (x) lim f (x) lim f (x) lim f (x) x2+ x0 x2- x2 x-1 2. Sketch the graph of a function that satisfies all of the given conditions: lim f (x) = 1 lim f (x) = 1 lim f (x) = 2 f (0) = 1 x0- x1 x0+ f (x) is undefined 3. Use the limit laws to find the following limits. Justify each step. (a) lim (x2 + 3)(x - 4) x-3 (b) lim (c) lim x-2 3 x2 x -8 x1 x+ 1 x 6 4. Find the following limits. You don't need to justify each step, but remember to show work. (a) lim (b) x+3 2 x-3 x -9 lim 1+x-1 x x0 5. Use the Squeeze Theorem to show that x0 lim x2 sin (1/x) = 0 3x2 + 2 is continuous at x = -5 7. Find an equation of the tangent line to y = 2x + 1 at the point (4,3). 6. Show that f (x) = ...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online