Let f (x) = (SiNx ^ 2 + 1), find the Taylor formula with Peano remainder of F (x) at x = 0, and find f (n) (0)

Sin (x ^ 2 + 1) or (SiNx ^ 2) + 1? SiNx = sum (- 1) ^ (n-1) x ^ (2n-1) / (2n-1)!, cosx = sum (- 1) ^ NX ^ (2n) / 2n

RELATED INFORMATIONS

1. Think about the problem, to know cosx + SiNx = 1, find the nth power of (cosx) + (SiNx)=
2. The limit of cosx when x tends to π / 2 By the way, we also find the limit of cosx when x tends to zero I just learned the limit, I don't know anything. It should be proved by the limit's ε - δ formula
3. X tends to π, (1 + cosx) / (x - π) ^ 2, find the limit
4. What is the limit of cosx when x tends to infinity
5. What is the limit of cosx when x tends to zero? Ask for detailed explanation
6. What is the limit of cosx / X when x tends to zero?
7. The limit of cosx / (1-sinx) ^ 2 when x tends to π / 2
8. Given the function f (x) = MX ^ 3 + NX ^ 2 (m n belongs to the real number m > N and is not equal to 0), the tangent of the image at (2, f (2)) is parallel to the X axis Finding the relation between M and n
9. Lim ln (1 + TaNx) / X when x tends to zero The existence criterion of limit and two important limits are used to solve the problem
10. lim(x→+π/2) ln(x-π/2)/tanx
11. When x approaches zero, (1-cosx / 2) is a higher order infinitesimal of X?
12. When x → 0, (1-ax ^ 2) ^ (1 / 4) - 1 and xsinx are equivalent infinitesimals
13. If x tends to 0, (1-ax ^ 2) ^ 1 / 4 and xsinx are equivalent infinitesimals, find a
14. Let x → 0, etanx ex and xn be infinitesimals of the same order, then n is () A. 1B. 2C. 3D. 4
15. 16. When x → 0, 2x + (x ^ 2) sin1 / X is the? A equivalent infinitesimal of X, B the same order but not equivalent infinitesimal, C the higher order infinitesimal, d the lower order infinitesimal
16. Prove with the definition of function limit: limx ^ 3 (x tends to 2) = 8
17. It is proved that the limit x ^ 2 + 2x + 4 = 12 when x tends to 2 Proof by the definition of the limit of higher number function My proof process is that there exists ε > 0, so that | x ^ 2 + 2x + 4-12 | = | X-2 | x + 4|
18. How to prove that the limit of x ^ 2 is 4 when x tends to 2 Especially that idea, how did you think of taking δ as that value
19. Let (2x-1) 7 = a7x7 + a6x6 + +A1x + A0, it is not necessary to find the value of X, then A0 + A1 + A2 + a3 + A4 + A5 + A6 + A7=______ ．
20. What is the square of minus A4? Is it the eighth power of negative a or the eighth power of a?