Calculus/Limits

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Expert: Alon Mandes - 11/24/2009


Question
Hi.
Do you know where can I find a web with limit problems focusing on radicals in undetermined forms? or at least if you don't can you give me an example on how to solve those problems in this format:
lim x->  inifinity  (sqrt(x^2+4x+7)/x+7  not the ones like this (sqrt(x^2+1)+1)/x+2 where you can just *with (sqrt(x^2+1)-1)/(sqrt(x^2+1)-1)


Answer
          (x^2+4x+7)^(1/2)              (x^2+4x+7)^(1/2)      1/x
Lim      -------------------  = Lim     ------------------ *  ----- =
x->INF          x+7             x->INF      x+7                1/x


          (x^2/x^2 + 4x/x^2 + 7/x^2)^(1/2)              (1 + 4/x +7/x^2)^(1/2)      
Lim      -----------------------------------  = Lim     ------------------------ =
x->INF          x/x^2 + 7/x^2                   x->INF      1 + 7/x^2  

 (1 + 4/INF +7/INF^2 )^(1/2)      1+0+0
= --------------------------- = ------------ = 1
  1 + 7/INF^2                       1+0

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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