Calculating lim2n-1 / N + 3 with sequence limit

Calculating lim2n-1 / N + 3 with sequence limit

It's 2 divided by n

Solving the limit of sequence
Given the real number sequence an, satisfying the recursive formula a (n + 1) = sin (an) + 1, find LIM (x →∞) an
After testing, this limit does exist, and has nothing to do with the value of A1

Because: an = sin (an-1) + 1 belongs to [0,2]
On [- 1,2], SiNx > x, so sin (an-1) > an-1
So an > an-1 + 1 > an-1
So an is an increasing function, monotonically bounded, and the limit must exist
From an = Sinan + 1
That is, x = SiNx + 1
The solution of X is the limit

If S3 + 3s2 = 0, then the common ratio q = ()
A. -2B. 2C. 3D. -3

According to the sum formula of the first n terms of the equal ratio sequence: SN = A1 (1 − QN) 1 − Q (Q ≠ 1) ∵ S3 + 3s2 = 0 ∵ A1 (1 − Q3) 1 − Q + 3A1 (1 − Q2) 1 − q = 0 (1-Q) (Q2 + 4q + 4) = 0, the solution is: q = - 2, q = 1 (rounding off), so select: a

If we know x &# 178; - x + 1 = 5, we can find the value of X &# 178; X &# 178; + 1 four times

(x²-x+1)/x=5
x-1+1/x=5
x+1/x=6
that
(x^4+x²+1)/x²
=x²+1+1/x²
=(x+1/x)²-1
=6²-1
=36-1
=35
If you still have doubts, please ask

The application of punctuation
1. In the last sentence of a paragraph (note, it's the last sentence), I quote an ancient poem, such as: "eventually, there will be a long wind and waves, and sometimes, the clouds will sail straight to the sea"! Is the use of this exclamation mark correct?
2, the same as above, will eventually be "the wind and waves will sometimes, straight hanging clouds sail to the sea." if the period ends, should the period be placed in quotation marks or outside quotation marks?

The quotation marks are correct even at the end

1. How to draw a circle on the playground?
1. Talk about the meaning of the following new words and choose one to make a sentence
PK：（ ）
Stocks: ()
Make sentences ()
2. Collect some new words and accumulate them
（ ）、（ ）、（ ）、（ ）、（ ）
3. Fill in the second half of the allegorical sayings
Dog bites LV Dongbin
The cat cries for the mouse
4. Fill in idioms skillfully
(1) The mountains are heavy and the waters are complex, and there is no way out
(2) () the flowers fall, the familiar swallows return
(3) Small building last night and east wind, the country () in the moon

Mathematics: prepare a rope. Student a holds one end of the rope and stands in the same place. Student B holds the other end of the rope. Student B takes the rope tightly and walks around. In this way, a circle can be drawn

What is eight eighths divided by one eighth?

(8/8)/(1/8)=8

The 3A translation of P20, the new goal of grade two English!

Dear jack,
I had a very unusual experience last Sunday. At about 10 a.m., when the UFO landed in front of me, I was walking in the street. I followed him to see where he was going, and when he entered the souvenir shop, I was very surprised. When he was looking at the souvenirs, the shop attendant called the police, The aliens left the shop and visited the flying Museum. When the aliens were in the museum, I called the TV station. Isn't that strange!
ted

What is the least common multiple of 13 and 36?

Because 13 can't divide any number except itself, their least common multiple is 13 times 36

In y = KX + B, when x = 1, y = 4, when x = 2, y = 10, then K=______ ，b=______ ．

According to the meaning of the problem: K + B = 42K + B = 10, the solution is k = 6B = − 2