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Question
Find the limit: lim 1-sqrt(2x^2-1)/x-1
x->0
The answer seems to be a complex number since when x approaches 0, the √(2x²-1 approaches the √-1. This has no solution when real numbers are used. If you are into complex numbers, the √-1 is referred to as i, so to evaluate the function you get (1-i)/(-1), which is -1+i.
A similar problem to this would be to evaluate the limit of (x²-1)/(x-1) as x approaches 1. Note that the top is (x-1)(x+1), so what we have is the limit as x approaches 1 is x+1, or 2.
The problem given was not this difficult, but just to give you an idea of what you may get in the future ...
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Answers by Expert:
Scotto
Expertise
Any kind of calculus question you want. I also have answered some questions in Physics (mass, momentum, falling bodies), Chemistry (charge, reactions, symbols, molecules), and Biology.
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Experience in the area: I have tutored students in all areas of mathematics for over 25 years.
Education/Credentials: BSand MS in Mathematics from Oregon State University, where I completed sophomore course in Physics and Chemistry. I received both degrees with high honors.
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Maybe not a publication, but I have respond to well oveer 7,500 questions on the PC.
Well over 2,000 of them have been in calculus.
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I aquired well over 40 hours of upper division courses. This was well over the number that were required.
I graduated with honors in both my BS and MS degree from Oregon State University.
I was allowed to jump into a few junior level courses my sophomore year.
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I have been nominated as the expert of the month several times.
All of my scores right now are at least a 9.8 average (out of 10).
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My past clients have been students at OSU, students at the college in South Seattle, referals from a company, friends and aquantenances, people from my church, and people like you from all over the world.
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