When x → x0, limf (x) and limg (x) = ∞, then why is limf (x) + G (x) = ∞ wrong when x → x0?
In contrast, let g (x) = - f (x), obviously satisfy the condition, but f (x) + G (x) ≡ 0, the limit is 0
RELATED INFORMATIONS
- 1. It is known that the two zeros of the function f (x) = AX2 + (B-8) x-a-ab are - 3 and 2 respectively. (I) find f (x); (II) find the range of F (x) when the domain of F (x) is [0,1]
- 2. If the function f (x) is differentiable at x = 0, and f (0) = 0, X tends to 0: then find the limit f (x) / x =?
- 3. Let f (x) be differentiable at x = 0, and f (0) = 0, then find the following limit, where a is not equal to 0 and is a constant lim x→0 [ f(ax)-f(-ax)]/x
- 4. The derivative function f '(x) of function f (x) is continuous, and f (0) = 0, f' (0) = A. note that the nearest point of curve y = f (x) and P (T, 0) is Q (s, f (s)), and find the limit value Lim s / T (when t tends to 0)
- 5. This paper discusses the limit of function f (x) = | x | / X when x tends to 0 Use piecewise function, be specific
- 6. If the differentiable function f (x) defined on (0, + ∞) satisfies: X · f '(x) < f (x) and f (1) = 0, then the solution set of F (x) x < 0 is () A. (0,1)B. (0,1)∪(1,+∞)C. (1,+∞)D. ϕ
- 7. If e ^ x is a primitive function of F (x), then ∫ XF (x) DX limit
- 8. F (x) is a differentiable function defined on (0, + ∞) and satisfies XF '(x) - f (x) a
- 9. Let f '(x) = f (x), f (x) be a differentiable function, f (0) = 1, and f (x) = XF (x) + x ^ 2, find f' (x) and f (x)
- 10. If f (x) is known to be a differentiable function, then Lim △ x → 0 f ^ 2 (x + △ x) - f ^ 2 (x) / △ x =?
- 11. Is there any relationship between the existence of limit of function at x point and the continuity of function at x point and the uniform continuity of function at x point?
- 12. Let f (x) = e * X The * on the E * should be replaced by * if x can't be typed
- 13. Let f (x) = {1-x, X
- 14. If f (x) is an odd function defined on R and f (2) = 0, then the zeros of y = f (x) are common___ How many?
- 15. The odd function y = f (x) defined on R, given that y = f (x) has three zeros in the interval (0, + ∞), then the number of zeros of function y = f (x) on R is () A. 5B. 6C. 7D. 8
- 16. This problem proves that the function f (x) = the square of X + 1 is a function on (0, + OO) + OO is positive infinity
- 17. It is proved that f (x) = - 1 / X-1 is an increasing function on (- OO, 0)
- 18. Given the function f (x) = 2cos (π 3 − x2) (1) find the monotone increasing interval of F (x); & nbsp; (2) find the maximum and minimum of F (x) if x ∈ [- π, π]
- 19. Cut the largest circle with a rectangular piece of paper 10 cm long and 8 cm wide, The radius of this circle is () cm, the perimeter is (), and the area is ()
- 20. The definite integral ln (x + (a ^ 2 + x ^ 2) ^ (1 / 2)) DX ranges from 0 to a