桂林电子科技大学数学专业英语(B卷)2015年考研复试专业课真题试卷

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2015年桂林电子科技大学硕士研究生入学考试复试试卷 考试科目代码: 考试科目名称:专业英语 请注意:答案必须写在答题纸上(写在试卷上无效)。

英译汉

1. (1) real axis (2) initial-value problem (3) higher algebra

(4) derivative (5) equation (6) trigonometric function

2. (1) DEFINITION. A sequence {})(n f is said to have a limit L if, for every positive number ε, there is another positive number N (which may depend on ε) such that

|)(|L n f -<ε for all .N n ≥

In this case, we say the sequence {})(n f converges to L and we write

,)(lim L n f n =∞

→ or L n f →)( as ∞→n . A sequence which does not converge is called divergent.

(2) In a thorough treatment of the real-number system, it would be necessary at this stage to prove certain theorems about integers. For example, the sum, difference, or product of two integers is an integer, but the quotient of two integers need not be an integer. However, we shall not enter into the details of such proofs.

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