This preview shows pages 1–5. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: x f 4. (10 pts.) Find the following infinite limits. Explain how you get your solutions by writing a sentence or two: a) 3 1 2 lim 2 3+ + x x x x b) 3 1 2 lim 2 3+ + + x x x x 5. (20 pts.) a) Use the limit definition of the derivative to find the derivative (as a function) of 2 3 ) ( x x f = . b) Use your solution to part a to find the equation of the tangent line at the point 4 = x . c) Use your answer from part b to approximate 2 3 3 . 6. (10 pts.) Find all asymptote(s) for 3 1 ) ( 2 += x x x f , if there are any. 7. (10 pts.) Find a number a such that the following function is continuous. Dont just write down a number, show me how you get your value of a : ( 29 < =4 1 4 1 1 if 4 if sin ) ( x x a x x x f . USE RADIANS...
View
Full
Document
 Spring '08
 Williamson
 Calculus, Derivative

Click to edit the document details