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§1.5 极限运算法则

§1.5 极限运算法则

§1.5 极限运算法则. 无穷小的性质. 极限的四则运算法则. 无穷小的性质. 定理 1 有限个无穷小的和也是无穷小 . 证明. 仅就两个 x  x 0 时的无穷小情形证明 . 设  及  是当 x  x 0 时的两个无穷小 . 则    0 .   1  0 . 当 0  | x  x 0 |   1 时  有 |  |   .   2  0 . 当 0  | x  x 0 |   2 时  有 |  |   .

By lewis
(126 views)

L’Hôpital’s Rule

L’Hôpital’s Rule

L’Hôpital’s Rule. 0/0 limits /  limits Growth/decay rates of exponentials, logs  -  limits 0  , 1  , 0 0 limits. Special Case. 0/0 L’Hôpital’s Rule. Suppose that lim f(x)=0 and lim g(x)=0 . Then. Examples of 0/0 limits. Compute the following limits. Warning and Strategy.

By dinah
(180 views)

Drill: You will need to factor!

Drill: You will need to factor!

Drill: You will need to factor!. Drill answers. Lesson 2.2: Limits involving infinity. Day 1 HW: p. 76: 1-20 Day 2 HW: P. 76: 21-40 P. 77: Quiz Quiz for AP Prep. Finite limits as x ±∞. As x  ∞

By neola
(84 views)

Drill: Find f(2)

Drill: Find f(2)

Drill: Find f(2). f(x) = f(x) = f(x) = f(x) =. Lesson 2.1 Rates of Changes and Limits. day # 1 homework: p. 66: 1-6, 8-14(even), 16-18, 20-28 (even) day #2 homework: p. 66-67: 29-50. Average and Instantaneous Speed.

By cecily
(89 views)

Breakdown of the Kondo effect at an antiferromagnetic instability

Breakdown of the Kondo effect at an antiferromagnetic instability

Breakdown of the Kondo effect at an antiferromagnetic instability. F. Steglich MPI for Chemical Physics of Solids, 01187 Dresden, Germany. Outline HF quantum critical points (QCPs) Kondo breakdown QCP in YbRh 2 Si 2 Superconductivity in YbRh 2 Si 2 ?. Collaboration MPI CPfS:

By milton
(110 views)

CaDIN1 Actin8

CaDIN1 Actin8

A. B. CaDIN1 -OX. WT #1 #2 #5 #9 #6. CaDIN1 -OX. WT #1 #2 #5 #9 #6. CaDIN1 Actin8. ABA ( μ M ). 1 0.75 0. C. 25 20 15 10 5 0. WT #1 #2 #5 #9 #6. Root growth (mm).

By urania
(85 views)

第五讲 函数的连续性

第五讲 函数的连续性

第五讲 函数的连续性. 一、函数的连续性 1、 函数在一点的连续性 1) 自变量的增量△ x 自变量 x 从初值 x 0 变到 终值 x 1 , 则称 x 1 - x 0 为自变量 x 的改变量或增量。 即 △ x = x 1 - x 0 → x 1 = x 0 + △ x. 2) 函数的增量△ y 当 x: x 0 → x 1 ,y=f(x) 由 f(x 0 ) → f(x 1 ), 则 △ y =f(x 1 )-f(x 0 ) =f(x 0 + △ x)-f(x 0 ).

By august-lester
(141 views)

L’Hôpital’s Rule

L’Hôpital’s Rule

L’Hôpital’s Rule. 0/0 limits /  limits Growth/decay rates of exponentials, logs  -  limits 0  , 1  , 0 0 limits. Special Case. 0/0 L’Hôpital’s Rule. Suppose that lim f(x)=0 and lim g(x)=0 . Then. Examples of 0/0 limits. Compute the following limits. Warning and Strategy.

By yeo-butler
(147 views)


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