What is the limit of cosx when x tends to zero? Ask for detailed explanation

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• 1. What is the limit of cosx / X when x tends to zero?
• 2. The limit of cosx / (1-sinx) ^ 2 when x tends to π / 2
• 3. 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
• 4. 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
• 5. lim(x→+π/2) ln(x-π/2)/tanx
• 6. The x power of E is equal to one part of X to find X
• 7. If the x power of E is equal to x, what is x equal to
• 8. The x power of E plus x is equal to e, find X
• 9. How to simplify SiNx ^ 4 + cosx ^ 2
• 10. Find the function y = 2sin2x + SiNx cosx when x belongs to the maximum and minimum values of brackets - π / 2 to π / 2
• 11. What is the limit of cosx when x tends to infinity
• 12. X tends to π, (1 + cosx) / (x - π) ^ 2, find the limit
• 13. 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
• 14. Think about the problem, to know cosx + SiNx = 1, find the nth power of (cosx) + (SiNx)=
• 15. Let f (x) = (SiNx ^ 2 + 1), find the Taylor formula with Peano remainder of F (x) at x = 0, and find f (n) (0)
• 16. When x approaches zero, (1-cosx / 2) is a higher order infinitesimal of X?
• 17. When x → 0, (1-ax ^ 2) ^ (1 / 4) - 1 and xsinx are equivalent infinitesimals
• 18. If x tends to 0, (1-ax ^ 2) ^ 1 / 4 and xsinx are equivalent infinitesimals, find a
• 19. Let x → 0, etanx ex and xn be infinitesimals of the same order, then n is () A. 1B. 2C. 3D. 4
• 20. 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