MATH 1004 Study Guide - Quiz Guide: Squeeze Theorem, Thx

• School: Carleton University
• Department: Mathematics
• Course: MATH 1004
• Professor: All

Document Summary

This test has two parts, the rst part has 5 multiple choice questions (3 marks each) and the second part has 3 long answer questions. 5: d: the formula for f 1(x) the inverse of the function f (x) = x 5. 2 + 4x d: the lim x 2 , the lim x . 4 is: 5, 5, let f (x) = x3 + 4x x2 + 5x. 49: using the squeeze theorem the lim x 0. Part 2: long answer questions: doesn"t exist, 0. 6-[5 marks]: use the de nition of derivative, only, to nd the derivative of f (x) = at x = 9. Answer: f (x) f (9) x 9 f(cid:48)(9) = lim x 9 x 3 x 3)( x 3 x 9. Using the following de nition is right too: f (9 + h) f (9) f(cid:48)(9) = lim h 0.