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In fact, what you said makes sense, high mathematics is a little difficult, and everyone is required to learn it, saying that it can exercise some abilities, but in the end, it is still the teacher who says above, and the students play below, and the exam is simple. I think at the beginning, I also spent a lot of time learning it, let's talk about interest, impossible, who doesn't want to use some unnecessary time to do what they like? Now, that knowledge is basically forgotten, what is left?
But you can only complain here, the study room is lonely, and it is also hard, I also hated this kind of teaching, but then I realized that in fact, confidant is wrong, learning is an ability, this ability is not how well you know certain knowledge, you may have finished learning mathematics, and the exam has passed, but you still don't know what Lagrange, or can't triple integral, this ability is the ability to learn, you know how to learn a skill, master a method, your mathematical knowledge may not be used for a lifetime, But what does it matter? In the process of learning, what you are exercising is your quality, your work habits, do you dare to say that you have previewed before class? Do you spend 60% of your time listening to the teacher in class?
It's very painful to do problems, and it's also a very scoundrel, you know that these things are the same as learning in vain, but you can't help but learn, so you have to learn to be targeted, improve efficiency, you look at those who learn math well, they actually don't like to bury their heads in writing problems, but they are really hard-working, they know what they want to do, instead of complaining about something, it is better to find a good way to learn.
In the future, many things will be like this, not how things are, how things are, we are all mortals, while having our own personality, we must also have the ability to see the essence of the problem.
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Don't bother yourself anymore Don't wait until your junior year or senior year to find out that you have no capital Meaningless questioning reality is a waste of time You have to think about it now In the future, you will go abroad to take the graduate school entrance examination Find a job and take the civil service examination? Basically, these are the four types of people who want to go abroad and study hard to get grades.
If you are decisive in the graduate school entrance examination, you should study early, you should be decisive in finding a job, you should be good at English, you should take some certificates in the direction of your future work, and you should be decisive in taking the civil service examination, and you should go out to class instead of waiting until my junior year like me.
It's too late to start working hard, and it's not hard to have high math at all, okay! The brains that can be admitted to the undergraduate program are not bad, and there are more disgusting professional courses than high mathematics! Decisively stop pointless realistic questioning!
Let's fight! Find a study friend! (It doesn't matter if you're a rich second-generation official)。。
Occasionally type that many words ==
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My undergraduate college is similar to the situation upstairs Second, the province is in the front, and I am about to graduate after graduation.
Personally, I think that college advanced mathematics can not be ignored, and it is not required to fully understand the basics, but it is necessary to have a certain understanding of mathematical ideas such as calculus, and ensure that you do not fail the course. In the later study (I know only during the graduate school period), I will still use that kind of push-down method.
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This question needs to be answered by the first power of x * x) into x:
x * x^(1/2)]^1/3)
x (1+1 vertical demolition 2)] 1 3).
x^(3/2)]^1/3)
x^[(3/2) *1/3)]
x^(1/2)
xSo, it's easy to find the indefinite integral:
x * dx
x^(1/2) *dx
1/[(1/2) +1] *x^[(1/2)+1] +c(2/3) *x^(3/2) +c
2/3) *x³) c
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It is assumed that the convergence limit of the series is not unique, that is, both a and b values are the limit, and max means that when taking n, the limit is true. When taking n1, the limit has a, when taking n2, the limit has b, n1 and n2 are not necessarily equal to the stool, at this time, take n, then the limit a and b must be true.
The later roll proves that when n is taken to a certain value, the absolute value of a-b is less than any number greater than 0, then only a=b will have the absolute value of a-b less than any number greater than 0. It is not the same as the hypothetical a, b.
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It's difficult, and when I get distracted in class, I can't keep up with the ones in the back.
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I feel like I can't learn English, and all that stuff in high math is Chinese, and it's okay, but English is very difficult.
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1+cosx) (1+sinx) does not exist when x tends to , so it fails by using Lopida's rule.
The Law of Lobida has 3 conditions of use.
1. The numerator and denominator tend to 0 or infinity.
2. Whether the numerator and denominator are respectively derivable in the limited region.
3. When the two conditions are satisfied, then seek the guidance and judge whether the limit after the guidance exists: if it exists, the answer is obtained directly; If it does not exist, it means that this infinitive cannot be solved by the law of Luo Chan ruler; If the impulse is not determined, i.e. the result is still infinitive, and the Lopida rule is continued on the basis of verification.
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Ask the question to find the derivative of this function.
Answer: Glad to answer for you, sin ax cos ax=root number2 * sin(ax 4) period t=2 a=1 get a=2 sina = 4 5 cosa=3 5 cos(a b)=5 13 a, b acute angle, a b0 so sin(a b)=12 13sinb=sin(a b-a)=sin(a b)cosa-sinbcos(a b)=12 13 * 3 5 -5 13 * 4 5=16 65
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