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# 1.2 ????? - PowerPoint PPT Presentation

1.2 极限的概念. 函数的极限. 中学阶段 , 我们学过数列的极限 , 其实 它是函数极限中的特殊情形, 特殊性在于: n 只取自然数, 且 n 趋于无穷大. 现在讨论函数 y = f ( x ) 的极限, 自变量 x 大致有两种变化形式. (1) x , (2) x  x 0 ( 有限数). 并且, x 不是离散变化的, 而是连续变化的.

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1.2 极限的概念

y

x

O

M

y = f (x)

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y

y = f (x)

A

x

o

 M

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A

x

 M

• M

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y

y = arctg x

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x x0总表示x无限接近x0, 但x  x0这一意思.

3 利用极限定义说明