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Leon Druch

Temple University

Biography

I graduated Temple University in 1997 with a BA Degree in Mathematics. I have taught mathematics for the past 20 years. I loved majoring in math and teaching math !

Education

BA Mathematics
Temple University

Topics Covered

Trigonometry
Partial Derivatives
Applications of Integration
Limits
Differentiation
Integrals
Derivatives
Integration
Series
Discrete Random Variables
Polar Coordinates
Functions
Linear Functions
Volume
Applications of the Derivative
Functions
Sequences
Integration Techniques
Continuous Functions
Exponential and Logarithmic Functions
Introduction to Trigonometry
Vectors

Leon's Textbook Answer Videos

03:04
Calculus: Early Transcendentals

Sketch the graph of the function and use it to determine the values of $ a $ for which $ \displaystyle \lim_{x\to a}f(x) $ exists.
$$ f(x) = \left\{
\begin{array}{ll}
1 + x & \mbox {if $ x < -1 $}\\
x^2 & \mbox{if $ -1 \le x < 1$}\\
2 - x & \mbox{if $ x \ge 1 $}
\end{array} \right.$$

Chapter 2: Limits and Derivatives
Section 2: The Limit of a Function
Leon Druch
00:47
Calculus: Early Transcendentals

Sketch the graph of the function and use it to determine the values of $ a $ for which $ \displaystyle \lim_{x\to a}f(x) $ exists.
$ f(x) = \left\{
\begin{array}{ll}
1 + \sin x & \mbox{if $ x < 0 $}\\
\cos x & \mbox{if $ 0 \le x \le \pi $}\\
\sin x & \mbox{if $ x > \pi $}
\end{array} \right.$

Chapter 2: Limits and Derivatives
Section 2: The Limit of a Function
Leon Druch
02:45
Calculus: Early Transcendentals

Sketch the graph of an example of a function $ f $ that satisfies all of the given conditions.

$ \displaystyle \lim_{x \to 3^+}f(x) = 4 $, $ \displaystyle \lim_{x \to 3^-}f(x) = 2 $,
$ \displaystyle \lim_{x \to -2}f(x) = 2 $, $ f(3) = 3 $, $ f(-2) = 1 $

Chapter 2: Limits and Derivatives
Section 2: The Limit of a Function
Leon Druch
04:29
Calculus: Early Transcendentals

Use a table of values to estimate the value of the limit. If you have a graphing device, use it to confirm your result graphically.

$ \displaystyle \lim_{x \to 0^+}x^x $

Chapter 2: Limits and Derivatives
Section 2: The Limit of a Function
Leon Druch
01:24
Calculus: Early Transcendentals

Determine the infinite limit.

$ \displaystyle \lim_{x \to 1}\frac{2-x}{(x-1)^2} $

Chapter 2: Limits and Derivatives
Section 2: The Limit of a Function
Leon Druch
08:02
Calculus: Early Transcendentals

Determine the infinite limit.

$ \displaystyle \lim_{x \to 2^+}\frac{x^2 - 2x -8}{x^2 -5x +6} $

Chapter 2: Limits and Derivatives
Section 2: The Limit of a Function
Leon Druch
1 2 3 4 5 ... 110

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