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Question
lim x-> 4 sqrtx- 2/x-4
lim x-> 2 1/x-1/2/x-2
lim x-> infinity x^3/ x^4 +9
lim h -> 0 (4+h)^2 -16 /H
Lim (√x -2)/(x-4) = Lim [(√x -2)*(√x +2)]/[(x-4)*(√x +2)] =
x->4 x->4
Lim [(x-4)/(x-4)]*1/[√x +2] = 1/[2+2] = 1/4 .
x->4
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Lim [(1/x)-(1/2)]/[x-2] = Lim [(2-x)/2x)]/[x-2] =
x->2 x->2
Lim (2-x)(x-2)/2x = Lim (4-x²)/2x = 0 .
x->2 x->2
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Lim x³/(x^4+9) = Lim 1/(x+9/x³) = 1/(∞+9/∞) = 1/(∞+0) = 0 .
x->∞ x->∞
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Lim [(4+h)²-16]/h = Lim (16+h²+8h-16)/h = Lim h+8 = 8 .
h->0 h->0 h->0
Alon.
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Alon Mandes
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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 .
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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".
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M.A in Mathematics & Bs.c in Electronics.
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