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Quiz 6 problem - Calculus with Analytic Geometry II | MTH 122, Quizzes of Analytical Geometry and Calculus

Material Type: Quiz; Professor: Bannon; Class: Calc with Analytic Geom II; Subject: Mathematics; University: Essex County College; Term: Spring 2005;

Typology: Quizzes

Pre 2010

Uploaded on 08/08/2009

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MTH 122 Spring 2005
Essex County College Division of Mathematics
Quiz # 61 March 1, 2005
Name:
Signature:
Show all work clearly and in order, and box your final answers. Justify your answers algebraically
whenever possible. You have 20 minutes to take this 10 point quiz. When you do use your
calculator, sketch all relevant graphs and write down all relevant mathematics.
1. If f0is continuous, use l’Hospital’s Rule to show that
lim
h0
f(x+h)f(xh)
2h=f0(x).
1This document was prepared by Ron Bannon using L
A
T
E
X 2ε.
1

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MTH 122 — Spring — 2005 Essex County College — Division of Mathematics Quiz # 6^1 — March 1, 2005

Name:

Signature:

Show all work clearly and in order, and box your final answers. Justify your answers algebraically whenever possible. You have 20 minutes to take this 10 point quiz. When you do use your calculator, sketch all relevant graphs and write down all relevant mathematics.

  1. If f ′^ is continuous, use l’Hospital’s Rule to show that

lim h→ 0

f (x + h) − f (x − h) 2 h

= f ′^ (x).

(^1) This document was prepared by Ron Bannon using LATEX 2ε.