The limit of tanx-6 / secx + 5 when x tends to Π / 2

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• 1. Is the square of LIM x → 0 (cosx-cos3x) / X equal to? Lim x → 0 (cosx-cos3x) / x square, please write the steps!
• 2. Find Lim x → 0 (Tan 2x SiNx) / X and lim x → 0 (COS x-cos 3x) / x ^ 2
• 3. Ln x = ax has several real roots (a > 0)
• 4. Given function f (x) = ln (AX) / (x + 1) - ln (AX) + ln (x + 1) Given the function f (x) = ln (AX) / (x + 1) - ln (AX) + ln (x + 1), (a is not equal to 0 and R) 1. Find the definition field of function f (x) 2. Find the monotone interval of function f (x) 3. When a > 0, if there is x such that f (x) ≥ ln (2a) holds, the value range of a is obtained
• 5. F (x) = x ^ 2 - ax + ln (x + 1), a belongs to R 0 F extremum when a = 2 If the function f (x) always has f prime (x) greater than x in the interval (0,1), find the value range of real number a The word "0" doesn't mean The speed of copying is fast
• 6. f(x)=ln(x+1),lim(x->0)
• 7. LIM (x tends to positive infinity) cosx / [e ^ x + e ^ (- x)] =?
• 8. Prove LIM (X -- > x0) 2 ^ x = 2 ^ x0 by definition
• 9. lim x→∞ x^2-6x+8/x^2-5x+4 Wrong. It's not infinity. It's four
• 10. Help find a limit: LIM (x ^ 2-6x + 8) / (x ^ 2-5x + 4) x → 4
• 11. lim(x→0)[(secx)^2-1] /(1-cosx)
• 12. Given function, find Lim f (x) Given the function y = {x + 1, x < 1, Lim f (x) =? 1/x,x≥1 x→0 A. 1 b.0 C. No D.2
• 13. Given the function f (x) = 2ln3x + 8x, the value of LiMn →∞ f (1 − 2 △ x) − f (1) △ x is () A. 10B. -10C. -20D. 20
• 14. Let f (x) be defined in a neighborhood of x = a, then a sufficient condition for f (x) to be differentiable at x = a is? A.lim (x approaches 0) [f (a + 2H) - f (a) Dlim (x tends to be 0) H [f (a + 1 / h) - f (a)] exists. Explain in detail why abd is not right (especially d)? A. LIM (H tends to 0) [f (a + 2H) - f (a + H)] / h exists, while LIM (H tends to 0) [f (a + H) - f (A-H)] / 2H exists C. LIM (H tends to 0) [f (a) - f (A-H)] / h exists. ABC option was forgotten just now, now add it. D is changed to dlim (H approaches infinity) H [f (a + 1 / h) - f (a)]
• 15. LIM (x → 0 +) lncotx / LNX is used to find the limit
• 16. The derivative of F (x) = | LNX | at point (1,0) is The derivative of F (x) = | LNX | at point (1,0) is
• 17. Finding the derivative of F (x) = (x + 1) lnx-x + 1
• 18. F (x-1 / x) = LNX, find the derivative of F (x)
• 19. Ask What's the derivative of 1 / LNX
• 20. The derivative of LNX / A