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Mark Carlson
เข้าร่วมเมื่อ 9 ม.ค. 2018
Using Squeeze Theorem to find limit of function of two variables
Using Squeeze Theorem to find limit of function of two variables
มุมมอง: 9 121
วีดีโอ
Partial Fraction Decomposition - Irreducible Quadratic Factor
มุมมอง 1383 ปีที่แล้ว
An example of finding a partial fraction decomposition (PFD) for a rational function that has an irreducible quadratic factor in its denominator.
Partial Fraction Decomposition - Repeated Linear Factors
มุมมอง 1363 ปีที่แล้ว
An example of finding a partial fraction decomposition (PFD) for a rational function that has a repeated linear factor in its denominator.
Partial Fraction Decomposition - 2 distinct linear factors
มุมมอง 1453 ปีที่แล้ว
Finding the partial fraction decomposition (PFD) for a rational function whose denominator consists of 2 distinct linear factors
Mountain Survey Problem - Right Triangle Trigonometry
มุมมอง 1.2K4 ปีที่แล้ว
A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that the angle of elevation to the top of the mountain is 25 degrees. From a point 2000 feet closer to the mountain along the plain, they find that the angle of elevation is 27 degrees. How high (in feet) is the mountain?
Excellent
Thank you, I took this theorem 3 times in school and uni, and I just now I understood it ❤️
why do you take the absolute value?
Thanks for you video Brother. Greetings from Chile
Keep it up bro
This is the best example I have seen. I have been looking for a way to solve this problem for 2 hours now... Thank you..
This video explained it better than any other video. Thx
I watched three examples by far the best
Thanks for this video! Can you help me understand Mark, why the last part is true? lim|f(x,y)| = limf(x,y) ?
In general, that is not always true (that is, lim|f(x,y)| does not always equal lim f(x,y)). It only works here because the limit is zero. Intuitively, this should make sense - the only way |f(x,y)| can approach zero (get smaller) is if f(x,y) itself were approaching zero. For a more formal proof, use the squeeze theorem: -|f(x,y)| <= f(x,y) <= |f(x,y)| for all values of (x,y). If the limit of |f(x,y)| is 0, then the limit of -|f(x,y) = -(limit of |f(x,y)|) = 0, so by the squeeze theorem, the limit of f(x,y) must also be 0.
@@moocow212 oh, now I got it ! Thanks for your explanation. Math and people learning it are great ))
You derseve a lot of like bro.
very clear and helpful :)
i was literally trying to find the solution to this specific limit problem, and only found it because it was in the thumbnail. thank you are a godsend