Why when n tends to infinity, the limit of one part of n to open an n-th root is one

Why when n tends to infinity, the limit of one part of n to open an n-th root is one

1 / N -- > 0 but not equal to 0
1 / N to the nth power is to say: 1 / N to the power of 1 / n
Any real number a to the power of 0 is equal to 1

Find the limit root under (n square + N + 1) - under the root sign (N-N + 1)

[(n²+n+1)-(n²-n+1)]/[√(n²+n+1)+√(n²-n+1)]=2n/[√(n²+n+1)+√(n²-n+1)]=2/[√(1/n²+1/n+1)+√(1/n²-1/n+1)]→2/(1+1)=1

Convergence of the factorial e of series N divided by the nth power of n

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0

Use the latter term over the previous one
(n/(n+1))^n---->1/e
So convergence

It is a non-zero natural number that n is greater than or equal to 2

1/1! + 1/2! + ... + 1/n! <1+1/2+1/2^2+1/2^3+...1/2^(n-1)=1+(1/2^n-1/2)/(1/2-1)=1+...

Which one is bigger than the factorial of 2n to the nth power of N?

Draw a binary coordinate diagram, Y1 = n ^ n y2 = 2n (n > 0)
As can be seen in the coordinate diagram, when n2n
And: n ^ n-2N = n (n ^ (n-1) - 2)
When n

How to prove that the factorial of 25 to the 49th power is greater than 49?

49!=49*50/2=49*25
The 49th power of 25 = the 46th power of 25 * 25 * 625
The 46th power of 25 is greater than 1 (1)
25 * 625 is greater than 25 * 49 = 49
So if you want to multiply two formulas, you have the 46th power of 25 * 25 * 625 is greater than 49!
That is, the 49th power of 25 is greater than the factorial of 49

The simplest trigonometric function Don't make sure that the answer is equal to 60 degrees

cos60°/ 1+sin60° + 1/tan30°
=(1 / 2) / 1 + (root 3 / 2) + 1 / (root 3 / 3)
The preceding equation is multiplied by 2
=1 / (2 + root 3) + root 3
The preceding formula is the same as the following multiplication (1-radical 3), and the denominator is rational
=2-radical 3 + radical 3
=2

trigonometric function In △ ABC, a and B are the opposite sides of ∠ A and ∠ B respectively. If Sina: SINB = 2:3, then the length a: B is equal to ( ) A、2:3 B、3:2 C、4:9 D、9:4 But I don't think I can understand this question. Shouldn't it be "in RT △ ABC"? Regular triangle?

In the triangle there is: A / Sina = B / SINB
And Sina: SINB = 2:3, so a: B= sinA:sinB=2 3
So choose a

On the properties of trigonometric function Tan squared x = 4.2 I forgot Let me ask the angle of X finally You can't make it clear if I get rid of it. What I asked for is the value of X. in the end, you must remove the square. Ah, the direct formula of cos of 2l must be wrong

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