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Question
Lim [ sqrt(4x^2 -12x +1) -x ]
x-> infinity)
Questioner: Jennifer
Category: Calculus
Private: no
Subject: limits (Calulus 1)
Question: Lim [ sqrt(4x^2 -12x +1) -x ] x-> infinity)
...............................
sqrt(4x^2 -12x +1) - x =
sqrt(4x^2(1 - 3/x + 1/4x^2)) - x =
2x sqrt(1 - 3/x + 1/4x^2) - x =
x[ 2 sqrt(1 - 3/x + 1/4x^2) - 1] =
You can take it from there.
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Answers by Expert:
Paul Klarreich
Expertise
All topics in first-year calculus including infinite series, max-min and related rate problems. Also trigonometry and complex numbers, theory of equations, exponential and logarithmic functions. I can also try (but not guarantee) to answer questions on Analysis -- sequences, limits, continuity.
Experience
I taught all mathematics subjects from elementary algebra to differential equations at a two-year college in New York City for 25 years.
Education/Credentials
(See above.)
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