Calculus/calc

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Expert: Alon Mandes - 5/4/2009


Question
how do I graph these?? I got most of this right but I need to graph this as ONE function.

1. lim x-> INF f(x)=-2

2. lim x-> -1 f(x)=2

3. f(-1) = -3    *GOT THIS COVERED*

4. lim x->1 f(x) does not exist

5. f is continuous at x=3

6. f is not differentiable at x=3

please describe how I graph this..

Answer
Lim   f(x) = -2
x->∞
f(x)=(1/x) - 2 or
f(x)=e^(1/x) - 2 or
f(x)=-2x/(x+1) .
-----------------------------
Lim   f(x) = 2
x->-1
f(x)=2Sin[x+1]/[x+1]
--------------------------
Lim  f(x) DO NOT EXIST
x->1
f(x)=[x] "round down"
--------------------------------
f(x) is continuous at x=3
f(x)=x² or
f(x)=(x²-9)/(x-3)
---------------------------------
f(x) is not differentiable at x=3
f(x)=|x-3|

Alon.

Calculus

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Alon Mandes

Expertise

Kind of questions I can answer : Limits, Derivatives, Integration, Implicit functions, continuousity, differentiation ,Extremum problems, Lagrange multipliers, Gradients, Surface integrals, Multi variables functions ,Multi variables Integrals,Complex variables ,Complex functions, Curves, Trajectory integrals & Vector analyse,Divergence,Rotor & word problems. Kind of question I can't answer : Economics,Combinatorics,infinite series & convergence ,Statistics & Probabilities .

Experience

1. I'm a team member of mathnerds (math site for answering questions) 2. I'm a team member in the Student's Union of the Technion, helping students who have problems in mathematics. 3. 2 years of experience as a math teacher in college. 4. I give free homework help for high school students in Mathematics & Physics. 5. I teach part time in collage the subjects : "Digital Signal Processing" , "Random Signals & Noise" , "Complex Functions".

Organizations
Hi-Tech company : GSM4VOIP ; job possition : Algorythm developer.

Education/Credentials
M.A in Mathematics & Bs.c in Electronics.

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