The limit of (x^2 + y^2) as (x, y) approaches (0, 0) is 0."
"当(x, y)趋近于(0, 0)时，(x^2 + y^2)的极限是0。"
The limit of the sequence {1, 1/2, 1/3, ..., 1/n, ...} is 0."
"序列{1, 1/2, 1/3, ..., 1/n, ...}的极限是0。"
The derivative of f(x) at x=c is the limit of (f(x) - f(c)) / (x - c) as x approaches c."
"函数f(x)在x=c处的导数是当x趋近于c时(f(x) - f(c)) / (x - c)的极限。"
The limit of sin(x)/x as x approaches 0 is 1."
"当x趋近于0时，sin(x)/x的极限是1。"
The limit of an infinite series is the sum of its terms if the series converges."
"如果级数收敛，那么级数的极限就是其项的和。"
The limit of e^x as x approaches infinity is infinity."
"当x趋近于无穷大时，e^x的极限是无穷大。"
The limit of a function at a point exists if and only if the left-hand and right-hand limits are equal."
"函数在某点的极限存在当且仅当左极限和右极限相等。"
The limit of a product is the product of the limits, provided they both exist."
"若两个极限都存在，则乘积的极限等于这两个极限的乘积。"
The limit of a quotient is the quotient of the limits, provided the denominator's limit is not zero."
"商的极限等于极限之商，前提是对数的极限不为零。"
The limit of a composite function can be found using the 'Limit Theorem for Composition'."
"复合函数的极限可以通过'复合函数的极限定理'来找到。"
未经许可，严禁转发。QQ交流群：688169419