How much cosx is when x tends to infinity

cosx, tanx are non-existent.

It's not a triangular problem, it's a limit problem.

The functions of cosx and tanx are both periodic functions, and the value of the function changes periodically at x-> infinity, and there is no limit.

Arctanx, on the other hand, is a monotonically increasing function, and the upper bound is a 2th faction.

That is, when x-> is infinite, the function of arctanx is infinitely close to the 2th faction, i.e., the limit of arctanx is the 2th faction.

These questions are easier to understand if you draw a function image

When x tends to infinity, neither cosx, nor tanx exists.

When x tends to infinity, arctan(x) is a 2-square, because tan2-squares = infinity, you can see by looking at the curve of arctan(x).

The value of cosx is uncertain when x tends to infinity cosx is a periodic function.

In the same way, tanx is a periodic function.

Because tanx at (-pi 2, pi 2) is a monotonically increasing function. When x approaches pi 2, tanx approaches infinity, so arctan(x) is pi 2 when x approaches infinity

Have you studied advanced mathematics on the first floor?

There is also a tendency when x tends to infinity, and tanx is uncertain.

tan(2 points) is infinity, so when x tends to infinity, arctan(x) is 2 points.

cosx isPeriodic function, which can be in the range of -1 and 1, when x=0,2 .2n reaches a maximum of 1 when x= , 3 .2n-1) reaches the minimum value -1, so its maximum value is 2, the minimum value is 0, there will be no limit only the maximum value and the minimum value.

The general steps of the limit thinking to solve the problem can be summarized as follows: for the unknown quantity under investigation, first try to correctly conceive another variable related to its change, and confirm that the 'influence' trend result of this variable through the process of non-frontal confinement to silver caving is very precise approximately equal to the unknown quantity sought; Using the limit principle, the result of the unknown quantity under investigation can be calculated.

The limit idea is calculus.

The basic idea is mathematical analysis.

A number of important concepts such as the continuity of functions, derivatives (which give a maximum value of 0), and definite integrals are defined with the help of limits. If you want to ask, "What is mathematical analysis?"

Then it can be said in a nutshell: "Mathematical analysis is a discipline that uses limit thinking to study functions, and the error of the calculation results is so small that it is difficult to imagine, so it can be ignored."

x tends to 0, 1 x tends to infinity, cos1 x is bounded, -1 cos1 x 1

So the operation is based on the infinitesimal four.

nature. Infinitesimal amounts.

Multiply by bounded variable = infinitesimal quantity.

Namely. When x tends to 0, lim xcos1 lacks a cavity to shoot x=0 If you agree with me, please click the [for satisfaction] button in time The mobile phone questioner can comment on the customer's envy [satisfaction] Yours is my driving force

If you still have questions, you can [follow-up].

I wish you progress in your studies and a better ode to the next level! o(∩_o~

cosx is a bounded function with a range of -1 to 1, and when the dust fiber tends to infinity with x, x-cosx also tends to infinity.

Is that an orange imitation?

1 (x-cosx) must tend to 0

When x approaches infinity, -1 cosx 1 is bounded.

cosx x = bounded cons infinity =1

Jujube has a ten-rock open boundary function divided by infinity is equal to 0).

Summary. x-cos x tends to infinity.

Hello, Hello Hello Friends in the Bend Hall. Encounter is fate, and I am happy to answer your questions. I'll read and think about your question carefully, and if I'm in a hurry, I'll speed up my hands, but please give me a moment

The 1 infinitesimal theravada bounded function is infinitesimal, so cosx x is 0 If your problem has been solved, you can click "End Service" in the upper right corner and give a 5-star thumbs up. Click on the avatar to follow me, if you have other questions, you can consult me again, thank you for your support

It is proved that x=2k + 2 tends to be the vertical infinity of the positive wheel jujube, and cosx tends to be rock deficiency 0

x=2k tends to positive infinity and cosx tends to 1

So: the limit of cosx does not exist when x tends to positive infinity.